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31209696672 = 2537114222091
BaseRepresentation
bin11101000100001111…
…100010110110100000
32222120001112212020120
4131010033202312200
51002404140243142
622200524040240
72153256021210
oct350417426640
988501485216
1031209696672
1112266073050
126070093080
132c34ba304b
141720d80240
15c29e2c7ec
hex7443e2da0

31209696672 has 96 divisors (see below), whose sum is σ = 102140849664. Its totient is φ = 8106412800.

The previous prime is 31209696607. The next prime is 31209696677. The reversal of 31209696672 is 27669690213.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (31209696677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103654 + ... + 2118437.

It is an arithmetic number, because the mean of its divisors is an integer number (1063967184).

Almost surely, 231209696672 is an apocalyptic number.

31209696672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31209696672 is an abundant number, since it is smaller than the sum of its proper divisors (70931152992).

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

31209696672 is a wasteful number, since it uses less digits than its factorization.

31209696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222122 (or 4222114 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 31209696672 in words is "thirty-one billion, two hundred nine million, six hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 4222091 8444182 12666273 16888364 25332546 29554637 33776728 46443001 50665092 59109274 67553456 88663911 92886002 101330184 118218548 135106912 139329003 177327822 185772004 202660368 236437096 278658006 325101007 354655644 371544008 405320736 472874192 557316012 650202014 709311288 743088016 945748384 975303021 1114632024 1300404028 1418622576 1486176032 1950606042 2229264048 2600808056 2837245152 3901212084 4458528096 5201616112 7802424168 10403232224 15604848336 31209696672