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4677640695 = 32572131729331
BaseRepresentation
bin1000101101100111…
…10010000111110111
3110001222210202201200
410112303302013313
534034434000240
62052054023543
7223626201300
oct42663620767
913058722650
104677640695
111a90451762
12aa6647bb3
13597132840
1432534b7a7
151c59cc930
hex116cf21f7

4677640695 has 288 divisors, whose sum is σ = 11159104320. Its totient is φ = 1788272640.

The previous prime is 4677640679. The next prime is 4677640699. The reversal of 4677640695 is 5960467764.

It is not a de Polignac number, because 4677640695 - 24 = 4677640679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677640699) 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 287 ways as a sum of consecutive naturals, for example, 14131680 + ... + 14132010.

It is an arithmetic number, because the mean of its divisors is an integer number (38746890).

Almost surely, 24677640695 is an apocalyptic number.

4677640695 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4677640695 is an abundant number, since it is smaller than the sum of its proper divisors (6481463625).

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

4677640695 is a wasteful number, since it uses less digits than its factorization.

4677640695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 4677640695 is about 68393.2796040664. The cubic root of 4677640695 is about 1672.4081927258.

The spelling of 4677640695 in words is "four billion, six hundred seventy-seven million, six hundred forty thousand, six hundred ninety-five".