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8079066640 = 245557318121
BaseRepresentation
bin1111000011000110…
…01100011000010000
3202212001012002221101
413201203030120100
5113021220113030
63413402234144
7404130635101
oct74143143020
922761162841
108079066640
113476471387
1216957b5954
139b9a37708
14568daa3a8
153244177ca
hex1e18cc610

8079066640 has 40 divisors (see below), whose sum is σ = 18788237208. Its totient is φ = 3230868480.

The previous prime is 8079066637. The next prime is 8079066679. The reversal of 8079066640 is 466609708.

It can be written as a sum of positive squares in 4 ways, for example, as 15745024 + 8063321616 = 3968^2 + 89796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436780 + ... + 454900.

Almost surely, 28079066640 is an apocalyptic number.

8079066640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8079066640 is an abundant number, since it is smaller than the sum of its proper divisors (10709170568).

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

8079066640 is a wasteful number, since it uses less digits than its factorization.

8079066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23707 (or 23701 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 8079066640 is about 89883.6283201785. The cubic root of 8079066640 is about 2006.5672983592.

The spelling of 8079066640 in words is "eight billion, seventy-nine million, sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5573 11146 18121 22292 27865 36242 44584 55730 72484 89168 90605 111460 144968 181210 222920 289936 362420 445840 724840 1449680 100988333 201976666 403953332 504941665 807906664 1009883330 1615813328 2019766660 4039533320 8079066640