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60508723968 = 28327111720063
BaseRepresentation
bin111000010110100110…
…011101101100000000
312210011221211122211200
4320112212131230000
51442410213131333
643444115541200
74241314444650
oct702646355400
9183157748750
1060508723968
11237306629a0
12b8882ba800
135923c780a4
142d0027a360
151892240c13
hexe1699db00

60508723968 has 432 divisors, whose sum is σ = 230316742656. Its totient is φ = 14791311360.

The previous prime is 60508723949. The next prime is 60508724033. The reversal of 60508723968 is 86932780506.

It is a happy number.

60508723968 is a `hidden beast` number, since 6 + 0 + 508 + 72 + 3 + 9 + 68 = 666.

It is a super-2 number, since 2×605087239682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3005905 + ... + 3025967.

It is an arithmetic number, because the mean of its divisors is an integer number (533140608).

Almost surely, 260508723968 is an apocalyptic number.

60508723968 is a gapful number since it is divisible by the number (68) 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 60508723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115158371328).

60508723968 is an abundant number, since it is smaller than the sum of its proper divisors (169808018688).

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

60508723968 is a wasteful number, since it uses less digits than its factorization.

60508723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20120 (or 20103 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 60508723968 in words is "sixty billion, five hundred eight million, seven hundred twenty-three thousand, nine hundred sixty-eight".