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671657869344 = 253731117195741
BaseRepresentation
bin10011100011000011110…
…11011100000000100000
32101012122222202222120010
421301201323130000200
542001023403304334
61232315543044520
766345210456000
oct11614173340040
92335588688503
10671657869344
112399373a2420
12aa208a40740
134b44c6bcb27
1424719136000
1512710cae0e9
hex9c61edc020

671657869344 has 768 divisors, whose sum is σ = 2500388352000. Its totient is φ = 155525529600.

The previous prime is 671657869321. The next prime is 671657869349. The reversal of 671657869344 is 443968756176.

It is a super-2 number, since 2×6716578693442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (671657869349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116990314 + ... + 116996054.

It is an arithmetic number, because the mean of its divisors is an integer number (3255714000).

Almost surely, 2671657869344 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 671657869344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250194176000).

671657869344 is an abundant number, since it is smaller than the sum of its proper divisors (1828730482656).

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

671657869344 is a wasteful number, since it uses less digits than its factorization.

671657869344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5800 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 66.

The spelling of 671657869344 in words is "six hundred seventy-one billion, six hundred fifty-seven million, eight hundred sixty-nine thousand, three hundred forty-four".