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679794809472 = 273623734339
BaseRepresentation
bin10011110010001101110…
…11011001101010000000
32101222200001212101000000
421321012323121222000
542114204432400342
61240143214000000
7100053643353342
oct11710673315200
92358601771000
10679794809472
112423324a1a29
12ab8b9aa6000
134c14840b5bc
1424c8ba89292
1512a3a30944c
hex9e46ed9a80

679794809472 has 448 divisors, whose sum is σ = 2148290625600. Its totient is φ = 213727776768.

The previous prime is 679794809471. The next prime is 679794809501. The reversal of 679794809472 is 274908497976.

679794809472 is a `hidden beast` number, since 6 + 7 + 9 + 79 + 4 + 80 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 679794809472.

It is not an unprimeable number, because it can be changed into a prime (679794809471) 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 55 ways as a sum of consecutive naturals, for example, 156668679 + ... + 156673017.

It is an arithmetic number, because the mean of its divisors is an integer number (4795291575).

Almost surely, 2679794809472 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 679794809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074145312800).

679794809472 is an abundant number, since it is smaller than the sum of its proper divisors (1468495816128).

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

679794809472 is an equidigital number, since it uses as much as digits as its factorization.

679794809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 679794809472 in words is "six hundred seventy-nine billion, seven hundred ninety-four million, eight hundred nine thousand, four hundred seventy-two".