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83371835968 = 2637177719813
BaseRepresentation
bin100110110100101011…
…0010100001001000000
321222012022211002101121
41031221112110021000
52331221142222333
6102144523442024
76011013625111
oct1155126241100
9258168732347
1083371835968
11323a3256383
12141a9086314
137b28879525
14406c8d4208
15227e51132d
hex1369594240

83371835968 has 56 divisors (see below), whose sum is σ = 170016563192. Its totient is φ = 40534401024.

The previous prime is 83371835849. The next prime is 83371836007. The reversal of 83371835968 is 86953817338.

It can be written as a sum of positive squares in 4 ways, for example, as 5347704384 + 78024131584 = 73128^2 + 279328^2 .

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, 4198030 + ... + 4217842.

It is an arithmetic number, because the mean of its divisors is an integer number (3036010057).

Almost surely, 283371835968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83371835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85008281596).

83371835968 is an abundant number, since it is smaller than the sum of its proper divisors (86644727224).

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

83371835968 is a wasteful number, since it uses less digits than its factorization.

83371835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21629 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 83371835968 in words is "eighty-three billion, three hundred seventy-one million, eight hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1777 2368 3554 7108 14216 19813 28432 39626 56864 65749 79252 113728 131498 158504 262996 317008 525992 634016 733081 1051984 1268032 1466162 2103968 2932324 4207936 5864648 11729296 23458592 35207701 46917184 70415402 140830804 281661608 563323216 1126646432 1302684937 2253292864 2605369874 5210739748 10421479496 20842958992 41685917984 83371835968