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82293272256 = 2631332970061
BaseRepresentation
bin100110010100100001…
…1111010111011000000
321212102011022101010110
41030221003322323000
52322014034203011
6101445514231320
75642206162356
oct1145103727300
9255364271113
1082293272256
113199a452508
1213b47a25540
1379b6292950
143da95757d6
1522199b1ba6
hex13290faec0

82293272256 has 56 divisors (see below), whose sum is σ = 234483080944. Its totient is φ = 25321006080.

The previous prime is 82293272251. The next prime is 82293272261. The reversal of 82293272256 is 65227239228.

It is an interprime number because it is at equal distance from previous prime (82293272251) and next prime (82293272261).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82293272251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16482535 + ... + 16487526.

It is an arithmetic number, because the mean of its divisors is an integer number (4187197874).

Almost surely, 282293272256 is an apocalyptic number.

It is an amenable number.

82293272256 is an abundant number, since it is smaller than the sum of its proper divisors (152189808688).

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

82293272256 is a wasteful number, since it uses less digits than its factorization.

82293272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32970089 (or 32970079 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 82293272256 in words is "eighty-two billion, two hundred ninety-three million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 32970061 65940122 98910183 131880244 197820366 263760488 395640732 428610793 527520976 791281464 857221586 1055041952 1285832379 1582562928 1714443172 2110083904 2571664758 3165125856 3428886344 5143329516 6330251712 6857772688 10286659032 13715545376 20573318064 27431090752 41146636128 82293272256