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664452254466 = 2337112131117489
BaseRepresentation
bin10011010101101000111…
…00001100101100000010
32100112001211010211012000
421222310130030230002
541341244234120331
61225124541444430
766001513655310
oct11526434145402
92315054124160
10664452254466
11236879a80300
12a8937870716
134a871914ca0
14242341750b0
151243d3cc0e6
hex9ab470cb02

664452254466 has 192 divisors, whose sum is σ = 1997535724800. Its totient is φ = 159309089280.

The previous prime is 664452254429. The next prime is 664452254513.

664452254466 is a `hidden beast` number, since 6 + 6 + 4 + 4 + 522 + 54 + 4 + 66 = 666.

664452254466 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 35850 + ... + 1153338.

It is an arithmetic number, because the mean of its divisors is an integer number (10403831900).

Almost surely, 2664452254466 is an apocalyptic number.

664452254466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 664452254466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998767862400).

664452254466 is an abundant number, since it is smaller than the sum of its proper divisors (1333083470334).

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

664452254466 is a wasteful number, since it uses less digits than its factorization.

664452254466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117542 (or 1117525 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 664452254466 in words is "six hundred sixty-four billion, four hundred fifty-two million, two hundred fifty-four thousand, four hundred sixty-six".