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82740981664 = 2511239983513
BaseRepresentation
bin100110100001110111…
…1110010111110100000
321220120100202100222101
41031003233302332200
52323423142403124
6102002150220144
75656253511535
oct1150357627640
9256510670871
1082740981664
11320aa144190
1214051954654
137a57c69b63
14400cbd8d8c
152243e4b644
hex1343bf2fa0

82740981664 has 48 divisors (see below), whose sum is σ = 178448780160. Its totient is φ = 37452136960.

The previous prime is 82740981649. The next prime is 82740981677. The reversal of 82740981664 is 46618904728.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 407629 + ... + 575884.

It is an arithmetic number, because the mean of its divisors is an integer number (3717682920).

Almost surely, 282740981664 is an apocalyptic number.

It is an amenable number.

82740981664 is an abundant number, since it is smaller than the sum of its proper divisors (95707798496).

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

82740981664 is a wasteful number, since it uses less digits than its factorization.

82740981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983773 (or 983765 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 82740981664 in words is "eighty-two billion, seven hundred forty million, nine hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1912 2629 3824 5258 7648 10516 21032 42064 84128 983513 1967026 3934052 7868104 10818643 15736208 21637286 31472416 43274572 86549144 173098288 235059607 346196576 470119214 940238428 1880476856 2585655677 3760953712 5171311354 7521907424 10342622708 20685245416 41370490832 82740981664