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85065548904 = 23327229373607
BaseRepresentation
bin100111100111001001…
…1010100010001101000
322010120100211121202100
41033032103110101220
52343203240031104
6103024545533400
76101001143520
oct1171623242150
9263510747670
1085065548904
1133092314a36
12145a0344260
13803873422b
14418d820680
15232d072139
hex13ce4d4468

85065548904 has 96 divisors (see below), whose sum is σ = 263416533120. Its totient is φ = 24293513088.

The previous prime is 85065548903. The next prime is 85065548929. The reversal of 85065548904 is 40984556058.

85065548904 is a `hidden beast` number, since 8 + 5 + 0 + 6 + 5 + 548 + 90 + 4 = 666.

It is a super-2 number, since 2×850655489042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85065548903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118869 + ... + 1192475.

It is an arithmetic number, because the mean of its divisors is an integer number (2743922220).

Almost surely, 285065548904 is an apocalyptic number.

85065548904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85065548904 is an abundant number, since it is smaller than the sum of its proper divisors (178350984216).

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

85065548904 is a wasteful number, since it uses less digits than its factorization.

85065548904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75919 (or 75912 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 85065548904 in words is "eighty-five billion, sixty-five million, five hundred forty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2293 4586 6879 9172 13758 16051 18344 20637 27516 32102 41274 48153 55032 64204 73607 82548 96306 128408 144459 147214 165096 192612 220821 288918 294428 385224 441642 515249 577836 588856 662463 883284 1030498 1155672 1324926 1545747 1766568 2060996 2649852 3091494 4121992 4637241 5299704 6182988 9274482 12365976 18548964 37097928 168780851 337561702 506342553 675123404 1012685106 1181465957 1350246808 1519027659 2025370212 2362931914 3038055318 3544397871 4050740424 4725863828 6076110636 7088795742 9451727656 10633193613 12152221272 14177591484 21266387226 28355182968 42532774452 85065548904