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83934474803777 = 13172937353955269
BaseRepresentation
bin10011000101011010000100…
…100011100001101001000001
3102000012001112212022212110202
4103011122010203201221001
542000140301022210102
6454302544310134545
723452031350134113
oct2305320443415101
9360161485285422
1083934474803777
112482045794aa84
1294b7091951455
1337aacaa6074a0
1416a26437093b3
159a84dd095e02
hex4c56848e1a41

83934474803777 has 32 divisors (see below), whose sum is σ = 101684269965600. Its totient is φ = 68503086747648.

The previous prime is 83934474803723. The next prime is 83934474803791. The reversal of 83934474803777 is 77730847443938.

It is a Cunningham number, because it is equal to 91615762+1.

It can be written as a sum of positive squares in 16 ways, for example, as 14298804453376 + 69635670350401 = 3781376^2 + 8344799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83934474803777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83934474823777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176740502 + ... + 177214767.

It is an arithmetic number, because the mean of its divisors is an integer number (3177633436425).

Almost surely, 283934474803777 is an apocalyptic number.

It is an amenable number.

83934474803777 is a deficient number, since it is larger than the sum of its proper divisors (17749795161823).

83934474803777 is a wasteful number, since it uses less digits than its factorization.

83934474803777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353955365.

The product of its (nonzero) digits is 2389782528, while the sum is 74.

The spelling of 83934474803777 in words is "eighty-three trillion, nine hundred thirty-four billion, four hundred seventy-four million, eight hundred three thousand, seven hundred seventy-seven".

Divisors: 1 13 17 29 37 221 377 481 493 629 1073 6409 8177 13949 18241 237133 353955269 4601418497 6017239573 10264702801 13096344953 78224114449 133441136413 170252484389 174499947617 222637864201 379794003637 2268499319021 2894292234613 4937322047281 6456498061829 83934474803777