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231738369426720 = 253351323991918787
BaseRepresentation
bin110100101100001111001011…
…001100001100010100100000
31010101111222020102002110202000
4310230033023030030110200
5220333300140033123340
62140511045350324000
766545354553233322
oct6454171314142440
91111458212073660
10231738369426720
1167925766153102
1221ba8547059600
139c3cab0437490
1441322a8517612
151bbd0a7e30d30
hexd2c3cb30c520

231738369426720 has 768 divisors, whose sum is σ = 878131279872000. Its totient is φ = 56739784421376.

The previous prime is 231738369426689. The next prime is 231738369426769. The reversal of 231738369426720 is 27624963837132.

231738369426720 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 3 + 8 + 369 + 4 + 267 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12335029167 + ... + 12335047953.

It is an arithmetic number, because the mean of its divisors is an integer number (1143400104000).

Almost surely, 2231738369426720 is an apocalyptic number.

231738369426720 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 231738369426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439065639936000).

231738369426720 is an abundant number, since it is smaller than the sum of its proper divisors (646392910445280).

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

231738369426720 is a wasteful number, since it uses less digits than its factorization.

231738369426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19982 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 231738369426720 in words is "two hundred thirty-one trillion, seven hundred thirty-eight billion, three hundred sixty-nine million, four hundred twenty-six thousand, seven hundred twenty".