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15339809664 = 2732113117839
BaseRepresentation
bin11100100100101001…
…01110101110000000
31110121001120001220200
432102110232232000
5222403442402124
611014053205200
71052064142104
oct162224565600
943531501820
1015339809664
116561a17053
122b81330800
1315a6074b6a
14a573db904
155eba88bc9
hex39252eb80

15339809664 has 96 divisors (see below), whose sum is σ = 44532914400. Its totient is φ = 5067976704.

The previous prime is 15339809633. The next prime is 15339809671. The reversal of 15339809664 is 46690893351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 15339809664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71257 + ... + 189095.

It is an arithmetic number, because the mean of its divisors is an integer number (463884525).

Almost surely, 215339809664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15339809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22266457200).

15339809664 is an abundant number, since it is smaller than the sum of its proper divisors (29193104736).

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

15339809664 is a wasteful number, since it uses less digits than its factorization.

15339809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117972 (or 117957 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 15339809664 in words is "fifteen billion, three hundred thirty-nine million, eight hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 452 576 678 904 1017 1152 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 14464 16272 21696 32544 43392 65088 117839 130176 235678 353517 471356 707034 942712 1060551 1414068 1885424 2121102 2828136 3770848 4242204 5656272 7541696 8484408 11312544 13315807 15083392 16968816 22625088 26631614 33937632 39947421 45250176 53263228 67875264 79894842 106526456 119842263 135750528 159789684 213052912 239684526 319579368 426105824 479369052 639158736 852211648 958738104 1278317472 1704423296 1917476208 2556634944 3834952416 5113269888 7669904832 15339809664