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31368638412 = 22322371952691
BaseRepresentation
bin11101001101101101…
…110110111111001100
32222222010121221022200
4131031231312333030
51003220332412122
622224402441500
72160226012206
oct351555667714
988863557280
1031368638412
1112337862361
1260b5363290
132c5bab2c07
141738115776
15c38d765ac
hex74db76fcc

31368638412 has 72 divisors (see below), whose sum is σ = 82857116160. Its totient is φ = 9987494880.

The previous prime is 31368638363. The next prime is 31368638447. The reversal of 31368638412 is 21483686313.

31368638412 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 8 + 638 + 4 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568987 + ... + 621677.

It is an arithmetic number, because the mean of its divisors is an integer number (1150793280).

Almost surely, 231368638412 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 31368638412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41428558080).

31368638412 is an abundant number, since it is smaller than the sum of its proper divisors (51488477748).

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

31368638412 is a wasteful number, since it uses less digits than its factorization.

31368638412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53443 (or 53438 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 31368638412 in words is "thirty-one billion, three hundred sixty-eight million, six hundred thirty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 719 828 1438 2157 2876 4314 6471 8628 12942 16537 25884 33074 49611 52691 66148 99222 105382 148833 158073 198444 210764 297666 316146 474219 595332 632292 948438 1211893 1896876 2423786 3635679 4847572 7271358 10907037 14542716 21814074 37884829 43628148 75769658 113654487 151539316 227308974 340963461 454617948 681926922 871351067 1363853844 1742702134 2614053201 3485404268 5228106402 7842159603 10456212804 15684319206 31368638412