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664614274104 = 23321171103114749
BaseRepresentation
bin10011010101111100001…
…10010000010000111000
32100112111010000021100100
421222332012100100320
541342112223232404
61225153010235400
766005522055624
oct11527606202070
92315433007310
10664614274104
11236952482030
12a8981b85b60
134a899361ab1
142424b8ac184
151244c732d39
hex9abe190438

664614274104 has 192 divisors, whose sum is σ = 2010640320000. Its totient is φ = 196632172800.

The previous prime is 664614274099. The next prime is 664614274111. The reversal of 664614274104 is 401472416466.

664614274104 is a `hidden beast` number, since 6 + 6 + 4 + 614 + 27 + 4 + 1 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 664614274104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5734522 + ... + 5849270.

It is an arithmetic number, because the mean of its divisors is an integer number (10472085000).

Almost surely, 2664614274104 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 664614274104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005320160000).

664614274104 is an abundant number, since it is smaller than the sum of its proper divisors (1346026045896).

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

664614274104 is a wasteful number, since it uses less digits than its factorization.

664614274104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114946 (or 114939 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 664614274104 in words is "six hundred sixty-four billion, six hundred fourteen million, two hundred seventy-four thousand, one hundred four".