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232325242523232 = 253193728971188287
BaseRepresentation
bin110100110100110001101111…
…100011011000111001100000
31010110121002001121100201220120
4310310301233203120321200
5220422404044041220412
62142040424253440240
766635642042240565
oct6464615743307140
91113532047321816
10232325242523232
1168031644774831
12220822317a0080
139c8323a61ca71
14415285d23a86c
151bcd4a5630b8c
hexd34c6f8d8e60

232325242523232 has 192 divisors, whose sum is σ = 659529499668480. Its totient is φ = 71358304444416.

The previous prime is 232325242523221. The next prime is 232325242523351.

232325242523232 is nontrivially palindromic in base 10.

232325242523232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 194918593 + ... + 196106879.

It is an arithmetic number, because the mean of its divisors is an integer number (3435049477440).

Almost surely, 2232325242523232 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 232325242523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329764749834240).

232325242523232 is an abundant number, since it is smaller than the sum of its proper divisors (427204257145248).

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

232325242523232 is a wasteful number, since it uses less digits than its factorization.

232325242523232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191253 (or 1191245 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

The spelling of 232325242523232 in words is "two hundred thirty-two trillion, three hundred twenty-five billion, two hundred forty-two million, five hundred twenty-three thousand, two hundred thirty-two".