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60007465980 = 2233571117233691
BaseRepresentation
bin110111111000101110…
…010100001111111100
312201220000122010011000
4313320232110033330
51440343402402410
643322252130300
74223020021260
oct677056241774
9181800563130
1060007465980
11234a37173a0
12b768466990
135874172527
142c938780a0
151863229dc0
hexdf8b943fc

60007465980 has 768 divisors, whose sum is σ = 257232568320. Its totient is φ = 11222323200.

The previous prime is 60007465951. The next prime is 60007466017. The reversal of 60007465980 is 8956470006.

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 255 ways as a sum of consecutive naturals, for example, 16255935 + ... + 16259625.

It is an arithmetic number, because the mean of its divisors is an integer number (334938240).

Almost surely, 260007465980 is an apocalyptic number.

60007465980 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 60007465980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128616284160).

60007465980 is an abundant number, since it is smaller than the sum of its proper divisors (197225102340).

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

60007465980 is a wasteful number, since it uses less digits than its factorization.

60007465980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 60007465980 in words is "sixty billion, seven million, four hundred sixty-five thousand, nine hundred eighty".