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8640677721 = 313690732077
BaseRepresentation
bin10000000110000011…
…00100011101011001
3211022011221220111210
420003001210131121
5120144003141341
63545223413333
7424060356144
oct100301443531
924264856453
108640677721
11373448a075
1218118b4249
13a791b1b70
145bd7dd05b
153588a0c16
hex203064759

8640677721 has 16 divisors (see below), whose sum is σ = 12409310144. Its totient is φ = 5316404544.

The previous prime is 8640677719. The next prime is 8640677753. The reversal of 8640677721 is 1277760468.

It is not a de Polignac number, because 8640677721 - 21 = 8640677719 is a prime.

It is a super-2 number, since 2×86406777212 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8640677701) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 253335 + ... + 285411.

It is an arithmetic number, because the mean of its divisors is an integer number (775581884).

Almost surely, 28640677721 is an apocalyptic number.

It is an amenable number.

8640677721 is a deficient number, since it is larger than the sum of its proper divisors (3768632423).

8640677721 is a wasteful number, since it uses less digits than its factorization.

8640677721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39000.

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 8640677721 is about 92955.2457960281. The cubic root of 8640677721 is about 2052.0247867671.

The spelling of 8640677721 in words is "eight billion, six hundred forty million, six hundred seventy-seven thousand, seven hundred twenty-one".

Divisors: 1 3 13 39 6907 20721 32077 89791 96231 269373 417001 1251003 221555839 664667517 2880225907 8640677721