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669660963840 = 210335112341467
BaseRepresentation
bin10011011111010101110…
…01110110010000000000
32101000111211020200012000
421233222321312100000
541432431201320330
61231345450304000
766244552163031
oct11575271662000
92330454220160
10669660963840
112390021797a0
12a9950128000
134b1c1a8a13b
14245a9c44a88
151264580d560
hex9beae76400

669660963840 has 1408 divisors, whose sum is σ = 2781100707840. Its totient is φ = 151171891200.

The previous prime is 669660963827. The next prime is 669660963847. The reversal of 669660963840 is 48369066966.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×6696609638402 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (669660963847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1433963287 + ... + 1433963753.

Almost surely, 2669660963840 is an apocalyptic number.

669660963840 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 669660963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390550353920).

669660963840 is an abundant number, since it is smaller than the sum of its proper divisors (2111439744000).

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

669660963840 is a wasteful number, since it uses less digits than its factorization.

669660963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 669660963840 in words is "six hundred sixty-nine billion, six hundred sixty million, nine hundred sixty-three thousand, eight hundred forty".