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82964143296 = 263348011657
BaseRepresentation
bin100110101000100001…
…1000101110011000000
321221010220200011012000
41031101003011303000
52324402310041141
6102040241304000
75664633403536
oct1152103056300
9257126604160
1082964143296
1132204106891
12140b4635000
137a92273668
1440306ca156
15225882d5b6
hex13510c5cc0

82964143296 has 56 divisors (see below), whose sum is σ = 243899222640. Its totient is φ = 27654713856.

The previous prime is 82964143289. The next prime is 82964143307. The reversal of 82964143296 is 69234146928.

82964143296 is a `hidden beast` number, since 82 + 9 + 6 + 41 + 432 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 24004101 + ... + 24007556.

Almost surely, 282964143296 is an apocalyptic number.

It is an amenable number.

82964143296 is an abundant number, since it is smaller than the sum of its proper divisors (160935079344).

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

82964143296 is a wasteful number, since it uses less digits than its factorization.

82964143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48011678 (or 48011662 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 82964143296 in words is "eighty-two billion, nine hundred sixty-four million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 48011657 96023314 144034971 192046628 288069942 384093256 432104913 576139884 768186512 864209826 1152279768 1296314739 1536373024 1728419652 2304559536 2592629478 3072746048 3456839304 4609119072 5185258956 6913678608 9218238144 10370517912 13827357216 20741035824 27654714432 41482071648 82964143296