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31606714048 = 2671313939043
BaseRepresentation
bin11101011011111010…
…000010111011000000
310000120201121102200211
4131123322002323000
51004212304322143
622304145323504
72166146431240
oct353372027300
9100521542624
1031606714048
111244a191088
126161036594
132c9920bb80
14175b9a9b20
15c4ec0249d
hex75be82ec0

31606714048 has 112 divisors (see below), whose sum is σ = 77750659840. Its totient is φ = 12413481984.

The previous prime is 31606714001. The next prime is 31606714049. The reversal of 31606714048 is 84041760613.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 31606714048.

It is not an unprimeable number, because it can be changed into a prime (31606714049) 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, 790015 + ... + 829057.

It is an arithmetic number, because the mean of its divisors is an integer number (694202320).

Almost surely, 231606714048 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 31606714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38875329920).

31606714048 is an abundant number, since it is smaller than the sum of its proper divisors (46143945792).

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

31606714048 is a wasteful number, since it uses less digits than its factorization.

31606714048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39214 (or 39204 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 31606714048 in words is "thirty-one billion, six hundred six million, seven hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 139 182 208 224 278 364 416 448 556 728 832 973 1112 1456 1807 1946 2224 2912 3614 3892 4448 5824 7228 7784 8896 12649 14456 15568 25298 28912 31136 39043 50596 57824 62272 78086 101192 115648 156172 202384 273301 312344 404768 507559 546602 624688 809536 1015118 1093204 1249376 2030236 2186408 2498752 3552913 4060472 4372816 5426977 7105826 8120944 8745632 10853954 14211652 16241888 17491264 21707908 28423304 32483776 37988839 43415816 56846608 70550701 75977678 86831632 113693216 141101402 151955356 173663264 227386432 282202804 303910712 347326528 493854907 564405608 607821424 987709814 1128811216 1215642848 1975419628 2257622432 2431285696 3950839256 4515244864 7901678512 15803357024 31606714048