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60131925120 = 273531412601
BaseRepresentation
bin111000000000001001…
…000101110010000000
312202012200211021222210
4320000021011302000
51441122233100440
643342455502120
74226060634021
oct700011056200
9182180737883
1060131925120
11235579a4393
12b7a2087940
135893b9aca7
142ca61d4c48
15186e111a80
hexe00245c80

60131925120 has 384 divisors, whose sum is σ = 203134256640. Its totient is φ = 15114240000.

The previous prime is 60131925101. The next prime is 60131925127. The reversal of 60131925120 is 2152913106.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (60131925127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100052820 + ... + 100053420.

It is an arithmetic number, because the mean of its divisors is an integer number (528995460).

Almost surely, 260131925120 is an apocalyptic number.

60131925120 is a gapful number since it is divisible by the number (60) 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 60131925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101567128320).

60131925120 is an abundant number, since it is smaller than the sum of its proper divisors (143002331520).

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

60131925120 is a wasteful number, since it uses less digits than its factorization.

60131925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 60131925120 in words is "sixty billion, one hundred thirty-one million, nine hundred twenty-five thousand, one hundred twenty".