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71840782926 = 2351143312517
BaseRepresentation
bin100001011101000001…
…0110101101001001110
320212102201002220100000
41002322002311221032
52134112220023201
653000405145130
75122165402503
oct1027202655116
9225381086300
1071840782926
1128516281580
1211b0b3bb1a6
136a0b916713
1436972a74aa
151d07022d86
hex10ba0b5a4e

71840782926 has 96 divisors (see below), whose sum is σ = 180190378368. Its totient is φ = 21263588640.

The previous prime is 71840782901. The next prime is 71840782927. The reversal of 71840782926 is 62928704817.

It is a happy number.

71840782926 is a `hidden beast` number, since 71 + 8 + 407 + 82 + 92 + 6 = 666.

It is a super-2 number, since 2×718407829262 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71840782927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73620 + ... + 386136.

It is an arithmetic number, because the mean of its divisors is an integer number (1876983108).

Almost surely, 271840782926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71840782926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90095189184).

71840782926 is an abundant number, since it is smaller than the sum of its proper divisors (108349595442).

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

71840782926 is a wasteful number, since it uses less digits than its factorization.

71840782926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312588 (or 312576 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 71840782926 in words is "seventy-one billion, eight hundred forty million, seven hundred eighty-two thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 81 86 99 129 162 198 243 258 297 387 473 486 594 774 891 946 1161 1419 1782 2322 2673 2838 3483 4257 5346 6966 8514 10449 12771 20898 25542 38313 76626 114939 229878 312517 625034 937551 1875102 2812653 3437687 5625306 6875374 8437959 10313061 13438231 16875918 20626122 25313877 26876462 30939183 40314693 50627754 61878366 75941631 80629386 92817549 120944079 147820541 151883262 185635098 241888158 278452647 295641082 362832237 443461623 556905294 725664474 835357941 886923246 1088496711 1330384869 1670715882 2176993422 2660769738 3265490133 3991154607 6530980266 7982309214 11973463821 23946927642 35920391463 71840782926