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230959136760 = 23351119591271229
BaseRepresentation
bin1101011100011000111…
…1001011111111111000
3211002010221100210011020
43113012033023333320
512241001014334020
6254033503502440
722454245161642
oct3270617137770
9732127323136
10230959136760
1189a49458940
12389178b7a20
1318a19314a01
14b26da7b892
15601b3abc40
hex35c63cbff8

230959136760 has 512 divisors, whose sum is σ = 816168960000. Its totient is φ = 51691530240.

The previous prime is 230959136729. The next prime is 230959136761. The reversal of 230959136760 is 67631959032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230959136761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187923826 + ... + 187925054.

It is an arithmetic number, because the mean of its divisors is an integer number (1594080000).

Almost surely, 2230959136760 is an apocalyptic number.

230959136760 is a gapful number since it is divisible by the number (20) 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 230959136760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408084480000).

230959136760 is an abundant number, since it is smaller than the sum of its proper divisors (585209823240).

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

230959136760 is a wasteful number, since it uses less digits than its factorization.

230959136760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 230959136760 in words is "two hundred thirty billion, nine hundred fifty-nine million, one hundred thirty-six thousand, seven hundred sixty".