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31604611230 = 232579256267
BaseRepresentation
bin11101011011110010…
…000001100010011110
310000120120122121011200
4131123302001202132
51004211240024410
622304032300330
72166122522463
oct353362014236
9100516577150
1031604611230
1112448a85215
1261603a16a6
132c989539ba
14175b5bd66a
15c4e9393c0
hex75bc8189e

31604611230 has 72 divisors (see below), whose sum is σ = 83226786552. Its totient is φ = 8321066208.

The previous prime is 31604611201. The next prime is 31604611319. The reversal of 31604611230 is 3211640613.

31604611230 is a `hidden beast` number, since 3 + 16 + 0 + 4 + 611 + 2 + 30 = 666.

It is a super-2 number, since 2×316046112302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31604611194 and 31604611203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 533557 + ... + 589823.

It is an arithmetic number, because the mean of its divisors is an integer number (1155927591).

Almost surely, 231604611230 is an apocalyptic number.

31604611230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31604611230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41613393276).

31604611230 is an abundant number, since it is smaller than the sum of its proper divisors (51622175322).

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

31604611230 is a wasteful number, since it uses less digits than its factorization.

31604611230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56438 (or 56356 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 31604611230 in words is "thirty-one billion, six hundred four million, six hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 6241 7110 12482 18723 31205 37446 56169 56267 62410 93615 112338 112534 168801 187230 280845 281335 337602 506403 561690 562670 844005 1012806 1688010 2532015 4445093 5064030 8890186 13335279 22225465 26670558 40005837 44450930 66676395 80011674 133352790 200029185 351162347 400058370 702324694 1053487041 1755811735 2106974082 3160461123 3511623470 5267435205 6320922246 10534870410 15802305615 31604611230