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6632388066960 = 2434531169919433
BaseRepresentation
bin110000010000011100100…
…1000100111111010010000
3212111001100112020212210000
41200200321020213322100
51332131112321120320
622034513234010000
71253113521251325
oct140407110477220
925431315225700
106632388066960
112127864181037
128b1499416900
1339157c050666
1418d01b712b4c
15b77cc3e9c90
hex60839227e90

6632388066960 has 400 divisors, whose sum is σ = 23793559257600. Its totient is φ = 1710488586240.

The previous prime is 6632388066919. The next prime is 6632388066971. The reversal of 6632388066960 is 696608832366.

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 79 ways as a sum of consecutive naturals, for example, 341285404 + ... + 341304836.

It is an arithmetic number, because the mean of its divisors is an integer number (59483898144).

Almost surely, 26632388066960 is an apocalyptic number.

6632388066960 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 6632388066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896779628800).

6632388066960 is an abundant number, since it is smaller than the sum of its proper divisors (17161171190640).

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

6632388066960 is a wasteful number, since it uses less digits than its factorization.

6632388066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21188 (or 21173 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 6632388066960 in words is "six trillion, six hundred thirty-two billion, three hundred eighty-eight million, sixty-six thousand, nine hundred sixty".