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231464824365504 = 263292771171128159
BaseRepresentation
bin110100101000010000011010…
…101000100110000111000000
31010100112211011120210120121110
4310220100122220212013000
5220314304430014144004
62140141250010323320
766516532060462242
oct6450203250460700
91110484146716543
10231464824365504
116782a754095984
1221b63525429540
139c200683b7c02
144122d58a92092
151bb5de803c589
hexd2841aa261c0

231464824365504 has 224 divisors, whose sum is σ = 636370257254400. Its totient is φ = 74161528197120.

The previous prime is 231464824365491. The next prime is 231464824365547. The reversal of 231464824365504 is 405563428464132.

It is a super-2 number, since 2×2314648243655042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1806011377 + ... + 1806139535.

Almost surely, 2231464824365504 is an apocalyptic number.

231464824365504 is a gapful number since it is divisible by the number (24) 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 231464824365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318185128627200).

231464824365504 is an abundant number, since it is smaller than the sum of its proper divisors (404905432888896).

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

231464824365504 is a wasteful number, since it uses less digits than its factorization.

231464824365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129651 (or 129641 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 57.

The spelling of 231464824365504 in words is "two hundred thirty-one trillion, four hundred sixty-four billion, eight hundred twenty-four million, three hundred sixty-five thousand, five hundred four".