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82262980962 = 23267210092
BaseRepresentation
bin100110010011101000…
…0010111100101100010
321212100001022102021200
41030213100113211202
52321433310342322
6101442513102030
75641360541511
oct1144720274542
9255301272250
1082262980962
1131984343188
1213b39857916
1379acc181c6
143da552c678
152216ecb8ac
hex1327417962

82262980962 has 54 divisors (see below), whose sum is σ = 181115909793. Its totient is φ = 26984954304.

The previous prime is 82262980951. The next prime is 82262980979. The reversal of 82262980962 is 26908926228.

82262980962 is a `hidden beast` number, since 8 + 2 + 2 + 629 + 8 + 0 + 9 + 6 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79072877601 + 3190103361 = 281199^2 + 56481^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=202809.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82262980899 and 82262980908.

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 26 ways as a sum of consecutive naturals, for example, 81528714 + ... + 81529722.

Almost surely, 282262980962 is an apocalyptic number.

82262980962 is an abundant number, since it is smaller than the sum of its proper divisors (98852928831).

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

82262980962 is an equidigital number, since it uses as much as digits as its factorization.

82262980962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 82262980962 in words is "eighty-two billion, two hundred sixty-two million, nine hundred eighty thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1009 1206 2018 3027 4489 6054 8978 9081 13467 18162 26934 40401 67603 80802 135206 202809 405618 608427 1018081 1216854 2036162 3054243 4529401 6108486 9058802 9162729 13588203 18325458 27176406 40764609 68211427 81529218 136422854 204634281 409268562 613902843 1227805686 4570165609 9140331218 13710496827 27420993654 41131490481 82262980962