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66939339514320 = 243257313233129243
BaseRepresentation
bin11110011100001100001111…
…00011011010000111010000
322210000100010122221112120200
433032012013203122013100
532233213231403424240
6354211301423135200
720046131143533000
oct1716060743320720
9283010118845520
1066939339514320
111a3688a6061759
127611361444500
132b47477963cc0
141275c4a4aa000
157b13a4a84930
hex3ce1878da1d0

66939339514320 has 1920 divisors, whose sum is σ = 304118135193600. Its totient is φ = 13073167134720.

The previous prime is 66939339514319. The next prime is 66939339514381. The reversal of 66939339514320 is 2341593393966.

It is a happy number.

66939339514320 is a `hidden beast` number, since 6 + 6 + 9 + 3 + 93 + 3 + 9 + 514 + 3 + 20 = 666.

It is a super-2 number, since 2×669393395143202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2289057619 + ... + 2289086861.

It is an arithmetic number, because the mean of its divisors is an integer number (158394862080).

Almost surely, 266939339514320 is an apocalyptic number.

66939339514320 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 66939339514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152059067596800).

66939339514320 is an abundant number, since it is smaller than the sum of its proper divisors (237178795679280).

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

66939339514320 is a wasteful number, since it uses less digits than its factorization.

66939339514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29350 (or 29327 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 63.

The spelling of 66939339514320 in words is "sixty-six trillion, nine hundred thirty-nine billion, three hundred thirty-nine million, five hundred fourteen thousand, three hundred twenty".