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85444558975 = 52236167103353
BaseRepresentation
bin100111110010011100…
…1001000000001111111
322011112210000022211101
41033210321020001333
52344442301341400
6103130325233531
76113252524246
oct1174471100177
9264483008741
1085444558975
11332672538a6
12146872628a7
138099106949
1441c7cbd95d
15235148b56a
hex13e4e4807f

85444558975 has 96 divisors (see below), whose sum is σ = 115480894464. Its totient is φ = 62559129600.

The previous prime is 85444558963. The next prime is 85444558999. The reversal of 85444558975 is 57985544458.

It is not a de Polignac number, because 85444558975 - 25 = 85444558943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242052399 + ... + 242052751.

It is an arithmetic number, because the mean of its divisors is an integer number (1202925984).

Almost surely, 285444558975 is an apocalyptic number.

85444558975 is a deficient number, since it is larger than the sum of its proper divisors (30036335489).

85444558975 is a wasteful number, since it uses less digits than its factorization.

85444558975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its digits is 161280000, while the sum is 64.

The spelling of 85444558975 in words is "eighty-five billion, four hundred forty-four million, five hundred fifty-eight thousand, nine hundred seventy-five".

Divisors: 1 5 23 25 61 67 103 115 305 335 353 515 575 1403 1525 1541 1675 1765 2369 2575 4087 6283 6901 7015 7705 8119 8825 11845 20435 21533 23651 31415 34505 35075 36359 38525 40595 59225 94001 102175 107665 118255 144509 157075 158723 172525 181795 202975 420961 470005 495259 538325 543973 591275 722545 793615 836257 908975 1442711 2104805 2217899 2350025 2436053 2476295 2719865 3612725 3968075 4181285 7213555 9682103 10524025 11089495 12180265 12381475 13599325 20906425 33182353 36067775 48410515 51011677 55447475 56029219 60901325 148599233 165911765 242052575 255058385 280146095 742996165 829558825 1275291925 1400730475 3417782359 3714980825 17088911795 85444558975