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85124885664 = 2537139744149
BaseRepresentation
bin100111101000111010…
…1101010110010100000
322010201111111020111010
41033101311222302200
52343313432320124
6103034505420520
76102321406140
oct1172165526240
9263644436433
1085124885664
1133112862585
12145b819a740
138047b0b340
144197668920
152333393529
hex13d1d6aca0

85124885664 has 96 divisors (see below), whose sum is σ = 275018889600. Its totient is φ = 22450516992.

The previous prime is 85124885633. The next prime is 85124885687. The reversal of 85124885664 is 46658842158.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4863339 + ... + 4880810.

It is an arithmetic number, because the mean of its divisors is an integer number (2864780100).

Almost surely, 285124885664 is an apocalyptic number.

85124885664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85124885664 is an abundant number, since it is smaller than the sum of its proper divisors (189894003936).

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

85124885664 is a wasteful number, since it uses less digits than its factorization.

85124885664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744182 (or 9744174 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 57.

The spelling of 85124885664 in words is "eighty-five billion, one hundred twenty-four million, eight hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 9744149 19488298 29232447 38976596 58464894 68209043 77953192 116929788 126673937 136418086 155906384 204627129 233859576 253347874 272836172 311812768 380021811 409254258 467719152 506695748 545672344 760043622 818508516 886717559 935438304 1013391496 1091344688 1520087244 1637017032 1773435118 2026782992 2182689376 2660152677 3040174488 3274034064 3546870236 4053565984 5320305354 6080348976 6548068128 7093740472 10640610708 12160697952 14187480944 21281221416 28374961888 42562442832 85124885664