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15714328464 = 2432412661641
BaseRepresentation
bin11101010001010010…
…11001111110010000
31111120011021121010100
432220221121332100
5224140332002324
611115152332400
71064262405462
oct165051317620
944504247110
1015714328464
11673436861a
123066844100
131635834213
14a9104c132
1561e8b74c9
hex3a8a59f90

15714328464 has 60 divisors (see below), whose sum is σ = 45050952492. Its totient is φ = 5110348800.

The previous prime is 15714328447. The next prime is 15714328477. The reversal of 15714328464 is 46482341751.

15714328464 is a `hidden beast` number, since 1 + 571 + 4 + 32 + 8 + 46 + 4 = 666.

15714328464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5349459600 + 10364868864 = 73140^2 + 101808^2 .

It is a Smith number, since the sum of its digits (45) 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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324917 + ... + 1336724.

Almost surely, 215714328464 is an apocalyptic number.

It is an amenable number.

15714328464 is an abundant number, since it is smaller than the sum of its proper divisors (29336624028).

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

15714328464 is a wasteful number, since it uses less digits than its factorization.

15714328464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661696 (or 2661687 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 15714328464 in words is "fifteen billion, seven hundred fourteen million, three hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 2661641 5323282 7984923 10646564 15969846 21293128 23954769 31939692 42586256 47909538 63879384 95819076 109127281 127758768 191638152 218254562 327381843 383276304 436509124 654763686 873018248 982145529 1309527372 1746036496 1964291058 2619054744 3928582116 5238109488 7857164232 15714328464