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6608930736384 = 2832173728116229
BaseRepresentation
bin110000000101100001011…
…1110000000100100000000
3212101210210202011000120200
41200023002332000210000
51331240042232031014
622020033442005200
71251323315241414
oct140130276004400
925353722130520
106608930736384
112118917119419
128a8a31646800
1338c2b12c8cb2
1418bc341b8d44
15b6da7d9ea09
hex602c2f80900

6608930736384 has 432 divisors, whose sum is σ = 20796391390320. Its totient is φ = 2010049413120.

The previous prime is 6608930736377. The next prime is 6608930736403. The reversal of 6608930736384 is 4836370398066.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3263543414784 + 3345387321600 = 1806528^2 + 1829040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407221582 + ... + 407237810.

It is an arithmetic number, because the mean of its divisors is an integer number (48139794885).

Almost surely, 26608930736384 is an apocalyptic number.

6608930736384 is a gapful number since it is divisible by the number (64) 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 6608930736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398195695160).

6608930736384 is an abundant number, since it is smaller than the sum of its proper divisors (14187460653936).

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

6608930736384 is a wasteful number, since it uses less digits than its factorization.

6608930736384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586 (or 16569 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 6608930736384 in words is "six trillion, six hundred eight billion, nine hundred thirty million, seven hundred thirty-six thousand, three hundred eighty-four".