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66916252710912 = 21131119122922637
BaseRepresentation
bin11110011011100001001110…
…11110001111100000000000
322202221010112201001102002210
433031300213132033200000
532232323441143222122
6354152522504542120
720044353060123153
oct1715604736174000
9282833481042083
1066916252710912
111a35a029174640
127608999781940
132b45238901b97
141274a9a263c9a
157b09a2d2a40c
hex3cdc2778f800

66916252710912 has 384 divisors, whose sum is σ = 196499868364800. Its totient is φ = 20082514329600.

The previous prime is 66916252710911. The next prime is 66916252710941. The reversal of 66916252710912 is 21901725261966.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66916252710911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2956045258 + ... + 2956067894.

It is an arithmetic number, because the mean of its divisors is an integer number (511718407200).

Almost surely, 266916252710912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66916252710912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249934182400).

66916252710912 is an abundant number, since it is smaller than the sum of its proper divisors (129583615653888).

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

66916252710912 is a wasteful number, since it uses less digits than its factorization.

66916252710912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23093 (or 23073 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 66916252710912 in words is "sixty-six trillion, nine hundred sixteen billion, two hundred fifty-two million, seven hundred ten thousand, nine hundred twelve".