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66913866420192 = 253311194717474513
BaseRepresentation
bin11110011011011100110010…
…01111010000111111100000
322202220220101101211021122000
433031232121033100333200
532232304044300421232
6354151450022244000
720044236663025311
oct1715563117207740
9282826341737560
1066913866420192
111a359014176050
127608432586600
132b44c4840623c
141274911372608
157b08b35b127c
hex3cdb993d0fe0

66913866420192 has 768 divisors, whose sum is σ = 229063558348800. Its totient is φ = 18786079457280.

The previous prime is 66913866420151. The next prime is 66913866420199. The reversal of 66913866420192 is 29102466831966.

66913866420192 is a `hidden beast` number, since 6 + 6 + 9 + 1 + 386 + 64 + 2 + 0 + 192 = 666.

It is a super-2 number, since 2×669138664201922 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66913866420199) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14826912528 + ... + 14826917040.

It is an arithmetic number, because the mean of its divisors is an integer number (298259841600).

Almost surely, 266913866420192 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 66913866420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114531779174400).

66913866420192 is an abundant number, since it is smaller than the sum of its proper divisors (162149691928608).

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

66913866420192 is a wasteful number, since it uses less digits than its factorization.

66913866420192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 66913866420192 in words is "sixty-six trillion, nine hundred thirteen billion, eight hundred sixty-six million, four hundred twenty thousand, one hundred ninety-two".