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86235076152 = 23322814262311
BaseRepresentation
bin101000001010000000…
…0101101011000111000
322020120212111202112100
41100110000231120320
52403102134414102
6103341004543400
76141662024121
oct1202400553070
9266525452470
1086235076152
11336324a8085
1214867b51b60
138193b194a4
144260c9b048
15239aa8da1c
hex141402d638

86235076152 has 48 divisors (see below), whose sum is σ = 234384536880. Its totient is φ = 28642723200.

The previous prime is 86235076111. The next prime is 86235076183. The reversal of 86235076152 is 25167053268.

86235076152 is a `hidden beast` number, since 8 + 6 + 23 + 5 + 0 + 7 + 615 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86235076098 and 86235076107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2110924 + ... + 2151387.

It is an arithmetic number, because the mean of its divisors is an integer number (4883011185).

Almost surely, 286235076152 is an apocalyptic number.

It is an amenable number.

86235076152 is an abundant number, since it is smaller than the sum of its proper divisors (148149460728).

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

86235076152 is a wasteful number, since it uses less digits than its factorization.

86235076152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262604 (or 4262597 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 86235076152 in words is "eighty-six billion, two hundred thirty-five million, seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281 562 843 1124 1686 2248 2529 3372 5058 6744 10116 20232 4262311 8524622 12786933 17049244 25573866 34098488 38360799 51147732 76721598 102295464 153443196 306886392 1197709391 2395418782 3593128173 4790837564 7186256346 9581675128 10779384519 14372512692 21558769038 28745025384 43117538076 86235076152