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232343161343232 = 283171011214914503
BaseRepresentation
bin110100110101000010011011…
…100110010000110100000000
31010110122210022101210002220120
4310311002123212100310000
5220423202243300440412
62142052550320140240
766640145063553402
oct6465023346206400
91113583271702816
10232343161343232
11680391aa44a485
12220857b2767680
139c84b34a98b34
14415367cd74b72
151bcdba3800b8c
hexd3509b990d00

232343161343232 has 288 divisors, whose sum is σ = 661329106502400. Its totient is φ = 72159353241600.

The previous prime is 232343161343173. The next prime is 232343161343233.

232343161343232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232343161343233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16020344493 + ... + 16020358995.

It is an arithmetic number, because the mean of its divisors is an integer number (2296281619800).

Almost surely, 2232343161343232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232343161343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330664553251200).

232343161343232 is an abundant number, since it is smaller than the sum of its proper divisors (428985945159168).

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

232343161343232 is a wasteful number, since it uses less digits than its factorization.

232343161343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26789 (or 26775 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 232343161343232 in words is "two hundred thirty-two trillion, three hundred forty-three billion, one hundred sixty-one million, three hundred forty-three thousand, two hundred thirty-two".