Search a number
-
+
14500356264 = 233528326357
BaseRepresentation
bin11011000000100100…
…11110000010101000
31101102112222102100000
431200102132002220
5214144042400024
610354504543000
71022221665102
oct154022360250
941375872300
1014500356264
116171089309
122988181a60
1314a118a184
149b7b22572
1559d01bcc9
hex36049e0a8

14500356264 has 96 divisors (see below), whose sum is σ = 40871769120. Its totient is φ = 4816190016.

The previous prime is 14500356259. The next prime is 14500356301. The reversal of 14500356264 is 46265300541.

14500356264 is a `hidden beast` number, since 1 + 4 + 500 + 35 + 62 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536974 + ... + 563330.

It is an arithmetic number, because the mean of its divisors is an integer number (425747595).

Almost surely, 214500356264 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 14500356264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20435884560).

14500356264 is an abundant number, since it is smaller than the sum of its proper divisors (26371412856).

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

14500356264 is a wasteful number, since it uses less digits than its factorization.

14500356264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26661 (or 26645 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 14500356264 in words is "fourteen billion, five hundred million, three hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 283 324 486 566 648 849 972 1132 1698 1944 2264 2547 3396 5094 6792 7641 10188 15282 20376 22923 26357 30564 45846 52714 61128 68769 79071 91692 105428 137538 158142 183384 210856 237213 275076 316284 474426 550152 632568 711639 948852 1423278 1897704 2134917 2846556 4269834 5693112 6404751 7459031 8539668 12809502 14918062 17079336 22377093 25619004 29836124 44754186 51238008 59672248 67131279 89508372 134262558 179016744 201393837 268525116 402787674 537050232 604181511 805575348 1208363022 1611150696 1812544533 2416726044 3625089066 4833452088 7250178132 14500356264