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82551380112 = 24321733721969
BaseRepresentation
bin100110011100001110…
…0100001100010010000
321220002010222121112200
41030320130201202100
52323031123130422
6101531254323200
75651462103405
oct1147034414220
9256063877480
1082551380112
1132012113793
1213bba359500
137a278b38a6
143dd19622ac
1522324982ac
hex1338721890

82551380112 has 60 divisors (see below), whose sum is σ = 244619170380. Its totient is φ = 25898471424.

The previous prime is 82551380089. The next prime is 82551380123. The reversal of 82551380112 is 21108315528.

82551380112 is a `hidden beast` number, since 8 + 25 + 513 + 8 + 0 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69873520896 + 12677859216 = 264336^2 + 112596^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16858537 + ... + 16863432.

It is an arithmetic number, because the mean of its divisors is an integer number (4076986173).

Almost surely, 282551380112 is an apocalyptic number.

It is an amenable number.

82551380112 is an abundant number, since it is smaller than the sum of its proper divisors (162067790268).

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

82551380112 is a wasteful number, since it uses less digits than its factorization.

82551380112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33722000 (or 33721991 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 82551380112 in words is "eighty-two billion, five hundred fifty-one million, three hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 33721969 67443938 101165907 134887876 202331814 269775752 303497721 404663628 539551504 573273473 606995442 809327256 1146546946 1213990884 1618654512 1719820419 2293093892 2427981768 3439640838 4586187784 4855963536 5159461257 6879281676 9172375568 10318922514 13758563352 20637845028 27517126704 41275690056 82551380112