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60975874080 = 253251123315399
BaseRepresentation
bin111000110010011100…
…100000000000100000
312211101111212100022200
4320302130200000200
51444334310432310
644002324333200
74256016243432
oct706234400040
9184344770280
1060975874080
1123950322770
12b998844200
13599999ac84
142d46320652
1518bd26a9c0
hexe32720020

60975874080 has 576 divisors, whose sum is σ = 244552089600. Its totient is φ = 13680691200.

The previous prime is 60975874027. The next prime is 60975874087. The reversal of 60975874080 is 8047857906.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (60975874087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11291221 + ... + 11296619.

It is an arithmetic number, because the mean of its divisors is an integer number (424569600).

Almost surely, 260975874080 is an apocalyptic number.

60975874080 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 60975874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122276044800).

60975874080 is an abundant number, since it is smaller than the sum of its proper divisors (183576215520).

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

60975874080 is a wasteful number, since it uses less digits than its factorization.

60975874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 60975874080 in words is "sixty billion, nine hundred seventy-five million, eight hundred seventy-four thousand, eighty".