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31999999806 = 235431918017
BaseRepresentation
bin11101110011010110…
…010011111100111110
310001121010122102100000
4131303112103330332
51011013444443211
622411155015130
72211663340035
oct356326237476
9101533572300
1031999999806
1112631190535
12625089a4a6
13302c83c338
141797d0371c
15c744db656
hex773593f3e

31999999806 has 96 divisors (see below), whose sum is σ = 73967781888. Its totient is φ = 10362764160.

The previous prime is 31999999777. The next prime is 31999999813. The reversal of 31999999806 is 60899999913.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3987510 + ... + 3995526.

It is an arithmetic number, because the mean of its divisors is an integer number (770497728).

Almost surely, 231999999806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31999999806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36983890944).

31999999806 is an abundant number, since it is smaller than the sum of its proper divisors (41967782082).

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

31999999806 is a wasteful number, since it uses less digits than its factorization.

31999999806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 76527504, while the sum is 72.

The spelling of 31999999806 in words is "thirty-one billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 191 243 258 382 387 486 573 774 1146 1161 1719 2322 3438 3483 5157 6966 8017 8213 10314 10449 15471 16034 16426 20898 24051 24639 30942 46413 48102 49278 72153 73917 92826 144306 147834 216459 221751 344731 432918 443502 649377 665253 689462 1034193 1298754 1330506 1531247 1948131 1995759 2068386 3062494 3102579 3896262 3991518 4593741 6205158 9187482 9307737 13781223 18615474 27562446 27923211 41343669 55846422 65843621 82687338 83769633 124031007 131687242 167539266 197530863 248062014 372093021 395061726 592592589 744186042 1185185178 1777777767 3555555534 5333333301 10666666602 15999999903 31999999806