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85797000375 = 35317731071723
BaseRepresentation
bin100111111100111100…
…1100101010010110111
322012110100012012112120
41033321321211102313
52401203013003000
6103225315251023
76125062320222
oct1177171452267
9265410165476
1085797000375
1133428196289
12147652a9a73
138124136158
14421ca245b9
1523723a86a0
hex13f9e654b7

85797000375 has 128 divisors (see below), whose sum is σ = 154756832256. Its totient is φ = 42055372800.

The previous prime is 85797000361. The next prime is 85797000379. The reversal of 85797000375 is 57300079758.

It is not a de Polignac number, because 85797000375 - 29 = 85796999863 is a prime.

It is a super-2 number, since 2×857970003752 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85797000379) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 49794264 + ... + 49795986.

It is an arithmetic number, because the mean of its divisors is an integer number (1209037752).

Almost surely, 285797000375 is an apocalyptic number.

85797000375 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85797000375 is a deficient number, since it is larger than the sum of its proper divisors (68959831881).

85797000375 is a wasteful number, since it uses less digits than its factorization.

85797000375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 85797000375 in words is "eighty-five billion, seven hundred ninety-seven million, three hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 15 17 25 51 73 75 85 107 125 219 255 321 365 375 425 535 1095 1241 1275 1605 1723 1819 1825 2125 2675 3723 5169 5457 5475 6205 6375 7811 8025 8615 9095 9125 13375 18615 23433 25845 27285 27375 29291 31025 39055 40125 43075 45475 87873 93075 117165 125779 129225 132787 136425 146455 155125 184361 195275 215375 227375 377337 398361 439365 465375 553083 585825 628895 646125 663935 682125 732275 921805 976375 1886685 1991805 2138243 2196825 2765415 2929125 3134137 3144475 3319675 3661375 4609025 6414729 9402411 9433425 9959025 10691215 10984125 13458353 13827075 15670685 15722375 16598375 23045125 32073645 40375059 47012055 47167125 49795125 53456075 67291765 69135375 78353425 160368225 201875295 228792001 235060275 267280375 336458825 391767125 686376003 801841125 1009376475 1143960005 1175301375 1682294125 3431880015 5046882375 5719800025 17159400075 28599000125 85797000375