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4640960007 = 321927140117
BaseRepresentation
bin1000101001001111…
…10110111000000111
3102222102210012021200
410110213312320013
534001041210012
62044303513543
7223002336435
oct42447667007
912872705250
104640960007
111a71778a42
12a962b88b3
1358c65baa8
1432051dd55
151c26843dc
hex1149f6e07

4640960007 has 12 divisors (see below), whose sum is σ = 7056430680. Its totient is φ = 2931132528.

The previous prime is 4640959909. The next prime is 4640960017. The reversal of 4640960007 is 7000690464.

4640960007 is a `hidden beast` number, since 4 + 6 + 40 + 9 + 600 + 0 + 7 = 666.

It is not a de Polignac number, because 4640960007 - 27 = 4640959879 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640960017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13569888 + ... + 13570229.

It is an arithmetic number, because the mean of its divisors is an integer number (588035890).

Almost surely, 24640960007 is an apocalyptic number.

4640960007 is a deficient number, since it is larger than the sum of its proper divisors (2415470673).

4640960007 is a wasteful number, since it uses less digits than its factorization.

4640960007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27140142 (or 27140139 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4640960007 is about 68124.5917932724. The cubic root of 4640960007 is about 1668.0252042756.

The spelling of 4640960007 in words is "four billion, six hundred forty million, nine hundred sixty thousand, seven".

Divisors: 1 3 9 19 57 171 27140117 81420351 244261053 515662223 1546986669 4640960007