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31583432868 = 223132922033169
BaseRepresentation
bin11101011010100001…
…001111000010100100
310000112002210121220220
4131122201033002210
51004140324322433
622301554324340
72165444515131
oct353241170244
9100462717826
1031583432868
111243802a639
1261552896b0
132c9444a120
141758869588
15c4cb542b3
hex75a84f0a4

31583432868 has 96 divisors (see below), whose sum is σ = 82163356800. Its totient is φ = 9375657984.

The previous prime is 31583432849. The next prime is 31583432887. The reversal of 31583432868 is 86823438513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31583432849) and next prime (31583432887).

It is a self number, because there is not a number n which added to its sum of digits gives 31583432868.

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, 9964788 + ... + 9967956.

It is an arithmetic number, because the mean of its divisors is an integer number (855868300).

Almost surely, 231583432868 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 31583432868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081678400).

31583432868 is an abundant number, since it is smaller than the sum of its proper divisors (50579923932).

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

31583432868 is a wasteful number, since it uses less digits than its factorization.

31583432868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5419 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 31583432868 in words is "thirty-one billion, five hundred eighty-three million, four hundred thirty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2203 2262 3169 4406 4524 6338 6609 8812 9507 12676 13218 19014 26436 28639 38028 41197 57278 63887 82394 85917 91901 114556 123591 127774 164788 171834 183802 191661 247182 255548 275703 343668 367604 383322 494364 551406 766644 830531 1102812 1194713 1661062 2389426 2491593 3322124 3584139 4778852 4983186 6981307 7168278 9966372 13962614 14336556 20943921 27925228 41887842 83775684 90756991 181513982 202457903 272270973 363027964 404915806 544541946 607373709 809831612 1089083892 1214747418 2429494836 2631952739 5263905478 7895858217 10527810956 15791716434 31583432868