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13525612590 = 23572174143307
BaseRepresentation
bin11001001100011000…
…00111100000101110
31021220121211022101110
430212030013200232
5210200024100330
610114044452450
7656114544600
oct144614074056
937817738343
1013525612590
115810945a26
12275584a126
131377253a79
149244ab170
15542678db0
hex32630782e

13525612590 has 384 divisors, whose sum is σ = 42046760448. Its totient is φ = 2763694080.

The previous prime is 13525612567. The next prime is 13525612603. The reversal of 13525612590 is 9521652531.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44057217 + ... + 44057523.

It is an arithmetic number, because the mean of its divisors is an integer number (109496772).

Almost surely, 213525612590 is an apocalyptic number.

13525612590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13525612590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023380224).

13525612590 is an abundant number, since it is smaller than the sum of its proper divisors (28521147858).

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

13525612590 is a wasteful number, since it uses less digits than its factorization.

13525612590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 13525612590 in words is "thirteen billion, five hundred twenty-five million, six hundred twelve thousand, five hundred ninety".