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81527317825405 = 51719139073629921
BaseRepresentation
bin10010100010011000001110…
…110100011000011101111101
3101200122221020221210110212211
4102202120032310120131331
541141220421330403110
6445221044402100421
723113103636332624
oct2242301664303575
9350587227713784
1081527317825405
1123a825a5555041
12918865994a711
133664cbaa5884a
14161bd2c3566bb
15965aa51e898a
hex4a260ed1877d

81527317825405 has 32 divisors (see below), whose sum is σ = 109047503180160. Its totient is φ = 58150272983040.

The previous prime is 81527317825399. The next prime is 81527317825543. The reversal of 81527317825405 is 50452871372518.

It is not a de Polignac number, because 81527317825405 - 231 = 81525170341757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81527317825405.

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 31 ways as a sum of consecutive naturals, for example, 20644845 + ... + 24274765.

It is an arithmetic number, because the mean of its divisors is an integer number (3407734474380).

Almost surely, 281527317825405 is an apocalyptic number.

81527317825405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

81527317825405 is a deficient number, since it is larger than the sum of its proper divisors (27520185354755).

81527317825405 is a wasteful number, since it uses less digits than its factorization.

81527317825405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643869.

The product of its (nonzero) digits is 18816000, while the sum is 58.

The spelling of 81527317825405 in words is "eighty-one trillion, five hundred twenty-seven billion, three hundred seventeen million, eight hundred twenty-five thousand, four hundred five".

Divisors: 1 5 17 19 85 95 323 1615 13907 69535 236419 264233 1182095 1321165 3629921 4491961 18149605 22459805 61708657 68968499 308543285 344842495 1172464483 5862322415 50481311347 252406556735 858182292899 959144915593 4290911464495 4795724577965 16305463565081 81527317825405