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31233074472 = 2334291662041
BaseRepresentation
bin11101000101101000…
…101110010100101000
32222121200112120120000
4131011220232110220
51002431131340342
622203121103000
72153661516105
oct350550562450
988550476500
1031233074472
1112278290146
126077a87a60
132c39999a72
141724107aac
15c2bee944c
hex745a2e528

31233074472 has 80 divisors (see below), whose sum is σ = 90498186900. Its totient is φ = 10052017920.

The previous prime is 31233074459. The next prime is 31233074479. The reversal of 31233074472 is 27447033213.

31233074472 is a `hidden beast` number, since 312 + 330 + 7 + 4 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28064960676 + 3168113796 = 167526^2 + 56286^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (31233074479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 812229 + ... + 849812.

Almost surely, 231233074472 is an apocalyptic number.

It is an amenable number.

31233074472 is an abundant number, since it is smaller than the sum of its proper divisors (59265112428).

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

31233074472 is a wasteful number, since it uses less digits than its factorization.

31233074472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662088 (or 1662075 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 31233074472 in words is "thirty-one billion, two hundred thirty-three million, seventy-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 1662041 3324082 4986123 6648164 9972246 13296328 14958369 19944492 29916738 39888984 44875107 48199189 59833476 89750214 96398378 119666952 134625321 144597567 179500428 192796756 269250642 289195134 359000856 385593512 433792701 538501284 578390268 867585402 1077002568 1156780536 1301378103 1735170804 2602756206 3470341608 3904134309 5205512412 7808268618 10411024824 15616537236 31233074472