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81930317656 = 23114771279001
BaseRepresentation
bin100110001001101101…
…1010110111101011000
321211110212100101000111
41030103123112331120
52320243130131111
6101345511014104
75630211131605
oct1142333267530
9254425311014
1081930317656
113182358a330
1213a6636a334
137959022105
143d732956ac
1521e7bb9a21
hex13136d6f58

81930317656 has 64 divisors (see below), whose sum is σ = 173561564160. Its totient is φ = 35935200000.

The previous prime is 81930317653. The next prime is 81930317681. The reversal of 81930317656 is 65671303918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81930317653) 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, 154156 + ... + 433156.

It is an arithmetic number, because the mean of its divisors is an integer number (2711899440).

Almost surely, 281930317656 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 81930317656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780782080).

81930317656 is an abundant number, since it is smaller than the sum of its proper divisors (91631246504).

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

81930317656 is a wasteful number, since it uses less digits than its factorization.

81930317656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279136 (or 279132 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 81930317656 in words is "eighty-one billion, nine hundred thirty million, three hundred seventeen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 47 71 88 94 142 188 284 376 517 568 781 1034 1562 2068 3124 3337 4136 6248 6674 13348 26696 36707 73414 146828 279001 293656 558002 1116004 2232008 3069011 6138022 12276044 13113047 19809071 24552088 26226094 39618142 52452188 79236284 104904376 144243517 158472568 217899781 288487034 435799562 576974068 871599124 931026337 1153948136 1743198248 1862052674 3724105348 7448210696 10241289707 20482579414 40965158828 81930317656