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231877763386380 = 2232559277138157077
BaseRepresentation
bin110100101110010000111111…
…101101111100110000001100
31010102000022001000102022102200
4310232100333231330300030
5220343041124411331010
62141055101322521500
766561421065315216
oct6456207755746014
91112008030368380
10231877763386380
1167979897433161
122200b569966290
139c4cc96597407
144138d2d4695b6
151bc1a1583ecc0
hexd2e43fb7cc0c

231877763386380 has 288 divisors, whose sum is σ = 718398603074880. Its totient is φ = 60521673553920.

The previous prime is 231877763386361. The next prime is 231877763386397. The reversal of 231877763386380 is 83683367778132.

231877763386380 is a `hidden beast` number, since 2 + 3 + 1 + 8 + 77 + 76 + 33 + 86 + 380 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231877763386299 and 231877763386308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062514402 + ... + 4062571478.

It is an arithmetic number, because the mean of its divisors is an integer number (2494439594010).

Almost surely, 2231877763386380 is an apocalyptic number.

231877763386380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231877763386380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359199301537440).

231877763386380 is an abundant number, since it is smaller than the sum of its proper divisors (486520839688500).

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

231877763386380 is a wasteful number, since it uses less digits than its factorization.

231877763386380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58809 (or 58804 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 231877763386380 in words is "two hundred thirty-one trillion, eight hundred seventy-seven billion, seven hundred sixty-three million, three hundred eighty-six thousand, three hundred eighty".