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230496427083888 = 2432719231933318191
BaseRepresentation
bin110100011010001010100001…
…101010001000100001110000
31010020010020120022110120210200
4310122022201222020201300
5220202423140313141023
62134120332523555200
766356550223423350
oct6432124152104160
91106106508416720
10230496427083888
1167496a93072069
1221a2790308bb00
139b7c94855c644
1440cc12d894b60
151b9ab1ae89743
hexd1a2a1a88870

230496427083888 has 960 divisors, whose sum is σ = 816518497566720. Its totient is φ = 59181605683200.

The previous prime is 230496427083883. The next prime is 230496427083893. The reversal of 230496427083888 is 888380724694032.

230496427083888 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 96 + 427 + 0 + 8 + 38 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (230496427083883) and next prime (230496427083893).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230496427083883) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28140201873 + ... + 28140210063.

It is an arithmetic number, because the mean of its divisors is an integer number (850540101632).

Almost surely, 2230496427083888 is an apocalyptic number.

230496427083888 is a gapful number since it is divisible by the number (28) 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 230496427083888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408259248783360).

230496427083888 is an abundant number, since it is smaller than the sum of its proper divisors (586022070482832).

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

230496427083888 is a wasteful number, since it uses less digits than its factorization.

230496427083888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778 (or 8769 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 230496427083888 in words is "two hundred thirty trillion, four hundred ninety-six billion, four hundred twenty-seven million, eighty-three thousand, eight hundred eighty-eight".