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31380268860 = 2233563679127
BaseRepresentation
bin11101001110011010…
…001110011100111100
32222222221111211022000
4131032122032130330
51003231322100420
622225500022300
72160426612213
oct351632163474
988887454260
1031380268860
11123433864a6
1260b9231990
132c61325935
1417398a207a
15c39dc2690
hex74e68e73c

31380268860 has 96 divisors (see below), whose sum is σ = 97653534720. Its totient is φ = 8365840704.

The previous prime is 31380268853. The next prime is 31380268883. The reversal of 31380268860 is 6886208313.

31380268860 is a `hidden beast` number, since 3 + 1 + 380 + 268 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3433617 + ... + 3442743.

It is an arithmetic number, because the mean of its divisors is an integer number (1017224320).

Almost surely, 231380268860 is an apocalyptic number.

31380268860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31380268860 is an abundant number, since it is smaller than the sum of its proper divisors (66273265860).

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

31380268860 is a wasteful number, since it uses less digits than its factorization.

31380268860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15512 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 31380268860 in words is "thirty-one billion, three hundred eighty million, two hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6367 9127 12734 18254 19101 25468 27381 31835 36508 38202 45635 54762 57303 63670 76404 82143 91270 95505 109524 114606 127340 136905 164286 171909 182540 191010 229212 246429 273810 286515 328572 343818 382020 410715 492858 547620 573030 687636 821430 859545 985716 1146060 1232145 1642860 1719090 2464290 3438180 4928580 58111609 116223218 174334827 232446436 290558045 348669654 523004481 581116090 697339308 871674135 1046008962 1162232180 1569013443 1743348270 2092017924 2615022405 3138026886 3486696540 5230044810 6276053772 7845067215 10460089620 15690134430 31380268860