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23693644639632 = 24311893471453043
BaseRepresentation
bin1010110001100100110110…
…10001011010110110010000
310002220002102211111102101110
411120302123101122312100
511101144041011432012
6122220413213333320
74663544413313052
oct530623321326620
9102802384442343
1023693644639632
117605466786070
1227a7ba1797240
13102b3bb6a2ab6
145bcac83858d2
152b14d575273c
hex158c9b45ad90

23693644639632 has 160 divisors (see below), whose sum is σ = 67717895063040. Its totient is φ = 7078755650560.

The previous prime is 23693644639603. The next prime is 23693644639663.

23693644639632 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×236936446396322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15579703 + ... + 17032745.

It is an arithmetic number, because the mean of its divisors is an integer number (423236844144).

Almost surely, 223693644639632 is an apocalyptic number.

23693644639632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23693644639632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33858947531520).

23693644639632 is an abundant number, since it is smaller than the sum of its proper divisors (44024250423408).

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

23693644639632 is a wasteful number, since it uses less digits than its factorization.

23693644639632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453501 (or 1453495 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 66.

The spelling of 23693644639632 in words is "twenty-three trillion, six hundred ninety-three billion, six hundred forty-four million, six hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 347 356 528 534 694 712 979 1041 1068 1388 1424 1958 2082 2136 2776 2937 3817 3916 4164 4272 5552 5874 7634 7832 8328 11451 11748 15268 15664 16656 22902 23496 30536 30883 45804 46992 61072 61766 91608 92649 123532 183216 185298 247064 339713 370596 494128 679426 741192 1019139 1358852 1453043 1482384 2038278 2717704 2906086 4076556 4359129 5435408 5812172 8153112 8718258 11624344 15983473 16306224 17436516 23248688 31966946 34873032 47950419 63933892 69746064 95900838 127867784 129320827 191801676 255735568 258641654 383603352 387962481 504205921 517283308 767206704 775924962 1008411842 1034566616 1422529097 1512617763 1551849924 2016823684 2069133232 2845058194 3025235526 3103699848 4033647368 4267587291 5546265131 5690116388 6050471052 6207399696 8067294736 8535174582 11092530262 11380232776 12100942104 16638795393 17070349164 22185060524 22760465552 24201884208 33277590786 34140698328 44370121048 44874326969 66555181572 68281396656 88740242096 89748653938 133110363144 134622980907 179497307876 266220726288 269245961814 358994615752 493617596659 538491923628 717989231504 987235193318 1076983847256 1480852789977 1974470386636 2153967694512 2961705579954 3948940773272 5923411159908 7897881546544 11846822319816 23693644639632