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83220863265 = 3451910814927
BaseRepresentation
bin100110110000001011…
…0011001100100100001
321221210210201212210000
41031200112121210201
52330414020111030
6102121531530213
76004201444341
oct1154026314441
9257723655700
1083220863265
113232600a351
12141665b9969
137b034c9977
144056834d21
15227113d860
hex1360599921

83220863265 has 40 divisors (see below), whose sum is σ = 157032754560. Its totient is φ = 42048432288.

The previous prime is 83220863263. The next prime is 83220863281. The reversal of 83220863265 is 56236802238.

83220863265 is a `hidden beast` number, since 8 + 3 + 2 + 2 + 0 + 8 + 632 + 6 + 5 = 666.

It is not a de Polignac number, because 83220863265 - 21 = 83220863263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83220863265.

It is not an unprimeable number, because it can be changed into a prime (83220863263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5399769 + ... + 5415158.

It is an arithmetic number, because the mean of its divisors is an integer number (3925818864).

Almost surely, 283220863265 is an apocalyptic number.

It is an amenable number.

83220863265 is a deficient number, since it is larger than the sum of its proper divisors (73811891295).

83220863265 is a wasteful number, since it uses less digits than its factorization.

83220863265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814963 (or 10814954 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 83220863265 in words is "eighty-three billion, two hundred twenty million, eight hundred sixty-three thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 285 405 513 855 1539 2565 7695 10814927 32444781 54074635 97334343 162223905 205483613 292003029 486671715 616450839 876009087 1027418065 1460015145 1849352517 3082254195 4380045435 5548057551 9246762585 16644172653 27740287755 83220863265