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85921378320 = 2435358005743
BaseRepresentation
bin101000000000101010…
…0000011000000010000
322012210000020021000010
41100001110003000100
52401431333101240
6103245521154520
76131132444151
oct1200124030020
9265700207003
1085921378320
1133491418278
121479aa8ba40
138143b3397b
14423135d928
15237d276280
hex1401503010

85921378320 has 40 divisors (see below), whose sum is σ = 266356273536. Its totient is φ = 22912367488.

The previous prime is 85921378313. The next prime is 85921378331. The reversal of 85921378320 is 2387312958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85921378320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179002632 + ... + 179003111.

Almost surely, 285921378320 is an apocalyptic number.

85921378320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85921378320 is an abundant number, since it is smaller than the sum of its proper divisors (180434895216).

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

85921378320 is a wasteful number, since it uses less digits than its factorization.

85921378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358005759 (or 358005753 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 85921378320 in words is "eighty-five billion, nine hundred twenty-one million, three hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 358005743 716011486 1074017229 1432022972 1790028715 2148034458 2864045944 3580057430 4296068916 5370086145 5728091888 7160114860 8592137832 10740172290 14320229720 17184275664 21480344580 28640459440 42960689160 85921378320