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60757813116 = 22327111329471237
BaseRepresentation
bin111000100101011100…
…101010011101111100
312210211022112200220200
4320211130222131330
51443413000004431
643524534443500
74250430614250
oct704534523574
9183738480820
1060757813116
11238492242a0
12b937803590
13596375c010
142d2539a260
1518a9044ee6
hexe2572a77c

60757813116 has 576 divisors, whose sum is σ = 218033786880. Its totient is φ = 13754603520.

The previous prime is 60757813111. The next prime is 60757813133. The reversal of 60757813116 is 61131875706.

60757813116 is a `hidden beast` number, since 60 + 7 + 578 + 1 + 3 + 1 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60757813111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49116450 + ... + 49117686.

It is an arithmetic number, because the mean of its divisors is an integer number (378530880).

Almost surely, 260757813116 is an apocalyptic number.

60757813116 is a gapful number since it is divisible by the number (66) 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 60757813116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109016893440).

60757813116 is an abundant number, since it is smaller than the sum of its proper divisors (157275973764).

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

60757813116 is a wasteful number, since it uses less digits than its factorization.

60757813116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 60757813116 in words is "sixty billion, seven hundred fifty-seven million, eight hundred thirteen thousand, one hundred sixteen".