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82960961562 = 235198984293
BaseRepresentation
bin100110101000011011…
…0111101000000011010
321221010200200111200000
41031100312331000122
52324401001232222
6102040045153430
75664564352413
oct1152066750032
9257120614600
1082960961562
1132202333356
12140b355b876
137a916cb38b
1440300dc80a
1522584009ac
hex1350dbd01a

82960961562 has 48 divisors (see below), whose sum is σ = 196216980960. Its totient is φ = 26198195472.

The previous prime is 82960961539. The next prime is 82960961579. The reversal of 82960961562 is 26516906928.

It is a happy number.

82960961562 is a `hidden beast` number, since 8 + 29 + 609 + 6 + 1 + 5 + 6 + 2 = 666.

It is a super-2 number, since 2×829609615622 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82960961499 and 82960961508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4482913 + ... + 4501380.

It is an arithmetic number, because the mean of its divisors is an integer number (4087853770).

Almost surely, 282960961562 is an apocalyptic number.

82960961562 is an abundant number, since it is smaller than the sum of its proper divisors (113256019398).

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

82960961562 is a wasteful number, since it uses less digits than its factorization.

82960961562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984329 (or 8984317 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 82960961562 in words is "eighty-two billion, nine hundred sixty million, nine hundred sixty-one thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 8984293 17968586 26952879 53905758 80858637 161717274 170701567 242575911 341403134 485151822 512104701 727727733 1024209402 1455455466 1536314103 2183183199 3072628206 4366366398 4608942309 9217884618 13826826927 27653653854 41480480781 82960961562