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23268662706492 = 223271131516153897
BaseRepresentation
bin1010100101001101010000…
…11000000000000100111100
310001101110111010000100122200
411102212220120000010330
511022213210123101432
6121253250455511500
74621051103425530
oct522465030000474
9101343433010580
1023268662706492
117461203537635
122739758088590
13cca2c14b57c8
145a62d03bdbc0
152a5410a54a7c
hex1529a860013c

23268662706492 has 144 divisors (see below), whose sum is σ = 67821184896192. Its totient is φ = 6588798935040.

The previous prime is 23268662706491. The next prime is 23268662706493. The reversal of 23268662706492 is 29460726686232.

It is a happy number.

23268662706492 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 86 + 62 + 7 + 0 + 6 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (23268662706491) and next prime (23268662706493).

It is a super-3 number, since 3×232686627064923 (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23268662706491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431697688 + ... + 431751584.

It is an arithmetic number, because the mean of its divisors is an integer number (470980450668).

Almost surely, 223268662706492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23268662706492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33910592448096).

23268662706492 is an abundant number, since it is smaller than the sum of its proper divisors (44552522189700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23268662706492 is a wasteful number, since it uses less digits than its factorization.

23268662706492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69188 (or 69183 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 23268662706492 in words is "twenty-three trillion, two hundred sixty-eight billion, six hundred sixty-two million, seven hundred six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 15161 28476 30322 45483 53897 60644 90966 106127 107794 136449 161691 181932 212254 215588 272898 318381 323382 377279 424508 485073 545796 636762 646764 754558 955143 970146 1131837 1273524 1509116 1713193 1910286 1940292 2263674 3395511 3426386 3820572 4527348 5139579 6090361 6791022 6852772 10279158 11992351 12180722 13582044 15418737 18271083 20558316 23984702 24361444 30837474 35977053 36542166 42632527 47969404 54813249 61674948 71954106 73084332 85265054 107931159 109626498 127897581 143908212 170530108 215862318 219252996 255795162 383692743 431724636 511590324 767385486 817132417 1534770972 1634264834 2451397251 3268529668 4902794502 5719926919 7354191753 9805589004 11439853838 14708383506 17159780757 22879707676 29416767012 34319561514 51479342271 68639123028 92335963121 102958684542 184671926242 205917369084 277007889363 369343852484 554015778726 646351741847 831023668089 1108031557452 1292703483694 1662047336178 1939055225541 2585406967388 3324094672356 3878110451082 5817165676623 7756220902164 11634331353246 23268662706492