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71696852903214 = 23271183623244953
BaseRepresentation
bin10000010011010100111001…
…011100101110010100101110
3100101212011002221201111211100
4100103110321130232110232
533344140123320400324
6412253025102103530
721046632565234230
oct2023247134562456
9311764087644740
1071696852903214
1120932512370280
12805b3b6b7aba6
133100ca4434616
14139c20923a250
15844eeddb64c9
hex41353972e52e

71696852903214 has 96 divisors (see below), whose sum is σ = 196008045053184. Its totient is φ = 18398190983040.

The previous prime is 71696852903083. The next prime is 71696852903231. The reversal of 71696852903214 is 41230925869617.

71696852903214 is a `hidden beast` number, since 7 + 1 + 6 + 9 + 68 + 529 + 0 + 32 + 14 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311507439 + ... + 311737514.

It is an arithmetic number, because the mean of its divisors is an integer number (2041750469304).

It is a 2-persistent number, because it is pandigital, and so is 2⋅71696852903214 = 143393705806428, but 3⋅71696852903214 = 215090558709642 is not.

Almost surely, 271696852903214 is an apocalyptic number.

71696852903214 is an abundant number, since it is smaller than the sum of its proper divisors (124311192149970).

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

71696852903214 is a wasteful number, since it uses less digits than its factorization.

71696852903214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623245062 (or 623245059 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 71696852903214 in words is "seventy-one trillion, six hundred ninety-six billion, eight hundred fifty-two million, nine hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 83 99 126 154 166 198 231 249 462 498 581 693 747 913 1162 1386 1494 1743 1826 2739 3486 5229 5478 6391 8217 10458 12782 16434 19173 38346 57519 115038 623244953 1246489906 1869734859 3739469718 4362714671 5609204577 6855694483 8725429342 11218409154 13088144013 13711388966 20567083449 26176288026 39264432039 41134166898 47989861381 51729331099 61701250347 78528864078 95979722762 103458662198 123402500694 143969584143 155187993297 287939168286 310375986594 362105317693 431908752429 465563979891 569022642089 724210635386 863817504858 931127959782 1086315953079 1138045284178 1707067926267 2172631906158 3258947859237 3414135852534 3983158494623 5121203778801 6517895718474 7966316989246 10242407557602 11949475483869 23898950967738 35848426451607 71696852903214