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1979676864 = 2632113110079
BaseRepresentation
bin111010111111111…
…0111100011000000
312002222010000010100
41311333313203000
513023244124424
6524235202400
7100025655444
oct16577674300
95088100110
101979676864
11926526590
12472ba6400
132571acb39
1414acc8824
15b8beadc9
hex75ff78c0

1979676864 has 168 divisors, whose sum is σ = 6390558720. Its totient is φ = 580492800.

The previous prime is 1979676817. The next prime is 1979676901. The reversal of 1979676864 is 4686769791.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 191377 + ... + 201455.

It is an arithmetic number, because the mean of its divisors is an integer number (38039040).

Almost surely, 21979676864 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 1979676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

1979676864 is an abundant number, since it is smaller than the sum of its proper divisors (4410881856).

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

1979676864 is a wasteful number, since it uses less digits than its factorization.

1979676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10126 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 1979676864 is about 44493.5598036390. The cubic root of 1979676864 is about 1255.6389214538.

The spelling of 1979676864 in words is "one billion, nine hundred seventy-nine million, six hundred seventy-six thousand, eight hundred sixty-four".