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232542322510432 = 251131109819123869
BaseRepresentation
bin110100110111111011111010…
…100001110100101001100000
31010111100211101021122200010111
4310313323322201310221200
5220434433134030313212
62142324245043141104
766660425350546624
oct6467737241645140
91114324337580114
10232542322510432
1168105710767130
12220b8315374794
139c9a85438992c
14415d17389d184
151bd3e5d2cbea7
hexd37efa874a60

232542322510432 has 192 divisors, whose sum is σ = 520363494604800. Its totient is φ = 101336272128000.

The previous prime is 232542322510427. The next prime is 232542322510469. The reversal of 232542322510432 is 234015223245232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9742428994 + ... + 9742452862.

It is an arithmetic number, because the mean of its divisors is an integer number (2710226534400).

Almost surely, 2232542322510432 is an apocalyptic number.

232542322510432 is a gapful number since it is divisible by the number (22) 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 232542322510432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260181747302400).

232542322510432 is an abundant number, since it is smaller than the sum of its proper divisors (287821172094368).

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

232542322510432 is a wasteful number, since it uses less digits than its factorization.

232542322510432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32221 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 232542322510432 its reverse (234015223245232), we get a palindrome (466557545755664).

The spelling of 232542322510432 in words is "two hundred thirty-two trillion, five hundred forty-two billion, three hundred twenty-two million, five hundred ten thousand, four hundred thirty-two".