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59012997120 = 21335572112
BaseRepresentation
bin110110111101011100…
…101110000000000000
312122022201100212100000
4312331130232000000
51431324311401440
643035445200000
74156253125200
oct667534560000
9178281325300
1059012997120
1123033331200
12b52b400000
135746120b0c
142bdb76a400
151805c8c730
hexdbd72e000

59012997120 has 1512 divisors, whose sum is σ = 271251758232. Its totient is φ = 12262440960.

The previous prime is 59012997119. The next prime is 59012997137. The reversal of 59012997120 is 2179921095.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5364817915 + ... + 5364817925.

It is an arithmetic number, because the mean of its divisors is an integer number (179399311).

Almost surely, 259012997120 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 59012997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135625879116).

59012997120 is an abundant number, since it is smaller than the sum of its proper divisors (212238761112).

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

59012997120 is an equidigital number, since it uses as much as digits as its factorization.

59012997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 59012997120 in words is "fifty-nine billion, twelve million, nine hundred ninety-seven thousand, one hundred twenty".