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85338560475 = 345272860051
BaseRepresentation
bin100111101111010010…
…0110001011111011011
322011021101120001020000
41033132210301133123
52344233132413400
6103112021304043
76110524536600
oct1173644613733
9264241501200
1085338560475
1133212435633
1214657865023
138080172a3c
1441b7baa6a7
152346eee600
hex13de9317db

85338560475 has 90 divisors (see below), whose sum is σ = 183885137964. Its totient is φ = 39011868000.

The previous prime is 85338560473. The next prime is 85338560501. The reversal of 85338560475 is 57406583358.

85338560475 is a `hidden beast` number, since 8 + 5 + 3 + 3 + 8 + 560 + 4 + 75 = 666.

It is not a de Polignac number, because 85338560475 - 21 = 85338560473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85338560473) 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 89 ways as a sum of consecutive naturals, for example, 330801 + ... + 529250.

Almost surely, 285338560475 is an apocalyptic number.

85338560475 is an abundant number, since it is smaller than the sum of its proper divisors (98546577489).

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

85338560475 is a wasteful number, since it uses less digits than its factorization.

85338560475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860087 (or 860066 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 85338560475 in words is "eighty-five billion, three hundred thirty-eight million, five hundred sixty thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 6615 11025 14175 19845 33075 99225 860051 2580153 4300255 6020357 7740459 12900765 18061071 21501275 23221377 30101785 38702295 42142499 54183213 64503825 69664131 90305355 116106885 126427497 150508925 162549639 193511475 210712495 270916065 348320655 379282491 451526775 487648917 580534425 632137485 812748195 1053562475 1137847473 1354580325 1741603275 1896412455 2438244585 3160687425 3413542419 4063740975 5689237365 9482062275 12191222925 17067712095 28446186825 85338560475