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13864120516 = 2211325212
BaseRepresentation
bin11001110100101110…
…11011000011000100
31022210012210021222001
430322113123003010
5211343203324031
610211420115044
71000365036301
oct147227330304
938705707861
1013864120516
115974a30a44
12282b095a84
1313cc41520c
149574260a8
15562242861
hex33a5db0c4

13864120516 has 27 divisors (see below), whose sum is σ = 24525895303. Its totient is φ = 6857527040.

The previous prime is 13864120499. The next prime is 13864120541. The reversal of 13864120516 is 61502146831.

It is a happy number.

The square root of 13864120516 is 117746.

It is a perfect power (a square), and thus also a powerful number.

13864120516 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 4 ways, for example, as 8134236100 + 5729884416 = 90190^2 + 75696^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 26610336 + ... + 26610856.

Almost surely, 213864120516 is an apocalyptic number.

13864120516 is the 117746-th square number.

It is an amenable number.

13864120516 is a deficient number, since it is larger than the sum of its proper divisors (10661774787).

13864120516 is an frugal number, since it uses more digits than its factorization.

13864120516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 13864120516 in words is "thirteen billion, eight hundred sixty-four million, one hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 4 113 226 452 521 1042 2084 12769 25538 51076 58873 117746 235492 271441 542882 1085764 6652649 13305298 26610596 30672833 61345666 122691332 3466030129 6932060258 13864120516