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831023039538 = 234151173319603
BaseRepresentation
bin11000001011111001101…
…01010100010000110010
32221110000102110102210000
430011330311110100302
5102103413344231123
61433433335450430
7114016345200306
oct14057465242062
92843012412700
10831023039538
112a048692854a
12115083b26a16
13604992876c3
142c3165d7d06
151693bb4db43
hexc17cd54432

831023039538 has 80 divisors (see below), whose sum is σ = 1875616307136. Its totient is φ = 275000378400.

The previous prime is 831023039507. The next prime is 831023039591. The reversal of 831023039538 is 835930320138.

831023039538 is a `hidden beast` number, since 8 + 3 + 102 + 3 + 0 + 3 + 9 + 538 = 666.

It is a super-2 number, since 2×8310230395382 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 831023039493 and 831023039502.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42382845 + ... + 42402447.

Almost surely, 2831023039538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831023039538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937808153568).

831023039538 is an abundant number, since it is smaller than the sum of its proper divisors (1044593267598).

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

831023039538 is a wasteful number, since it uses less digits than its factorization.

831023039538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21501 (or 21492 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 831023039538 in words is "eight hundred thirty-one billion, twenty-three million, thirty-nine thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 302 453 906 1359 1733 2718 3466 4077 5199 8154 10398 12231 15597 19603 24462 31194 39206 46791 58809 93582 117618 140373 176427 261683 280746 352854 523366 529281 785049 1058562 1570098 1587843 2355147 2960053 3175686 4710294 5920106 7065441 8880159 14130882 17760318 21196323 26640477 33971999 42392646 53280954 67943998 79921431 101915997 159842862 203831994 239764293 305747991 479528586 611495982 917243973 1834487946 2751731919 5129771849 5503463838 10259543698 15389315547 30778631094 46167946641 92335893282 138503839923 277007679846 415511519769 831023039538