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104664805875 = 3253750326423
BaseRepresentation
bin110000101111010000…
…0100011000111110011
3101000011021022000220200
41201132200203013303
53203323142242000
6120025442010243
710363456112430
oct1413640430763
9330137260820
10104664805875
114042a610873
1218350046983
139b4009a2c6
1450cc7cab87
152ac8a2e500
hex185e8231f3

104664805875 has 96 divisors (see below), whose sum is σ = 216066299904. Its totient is φ = 47749838400.

The previous prime is 104664805807. The next prime is 104664805901. The reversal of 104664805875 is 578508466401.

104664805875 is a `hidden beast` number, since 1 + 0 + 46 + 6 + 480 + 58 + 75 = 666.

It is not a de Polignac number, because 104664805875 - 211 = 104664803827 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3947914 + ... + 3974336.

It is an arithmetic number, because the mean of its divisors is an integer number (2250690624).

Almost surely, 2104664805875 is an apocalyptic number.

104664805875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104664805875 is an abundant number, since it is smaller than the sum of its proper divisors (111401494029).

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

104664805875 is a wasteful number, since it uses less digits than its factorization.

104664805875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26954 (or 26941 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 104664805875 in words is "one hundred four billion, six hundred sixty-four million, eight hundred five thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 503 525 875 1125 1509 1575 2515 2625 3521 4527 7545 7875 10563 12575 17605 22635 26423 31689 37725 52815 62875 79269 88025 113175 132115 158445 184961 188625 237807 264075 396345 440125 554883 565875 660575 792225 924805 1189035 1320375 1664649 1981725 2774415 3302875 3961125 4624025 5945175 8323245 9908625 13290769 13872075 23120125 29725875 39872307 41616225 66453845 69360375 93035383 119616921 199361535 208081125 279106149 332269225 465176915 598084605 837318447 996807675 1395530745 1661346125 2325884575 2990423025 4186592235 4984038375 6977653725 11629422875 14952115125 20932961175 34888268625 104664805875