Search a number
-
+
14600530368 = 263322433767
BaseRepresentation
bin11011001100100001…
…00110100111000000
31101200112110210101000
431212100212213000
5214400213432433
610412444012000
71024546313634
oct154620464700
941615423330
1014600530368
116212689626
1229b5831000
1314b8b61ca8
149c715adc4
155a6c08113
hex3664269c0

14600530368 has 112 divisors (see below), whose sum is σ = 42953391360. Its totient is φ = 4863382272.

The previous prime is 14600530337. The next prime is 14600530369. The reversal of 14600530368 is 86303500641.

14600530368 is a `hidden beast` number, since 1 + 4 + 60 + 0 + 530 + 3 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14600530369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3874021 + ... + 3877787.

Almost surely, 214600530368 is an apocalyptic number.

14600530368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14600530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476695680).

14600530368 is an abundant number, since it is smaller than the sum of its proper divisors (28352860992).

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

14600530368 is a wasteful number, since it uses less digits than its factorization.

14600530368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14600530368 in words is "fourteen billion, six hundred million, five hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2243 3767 4486 6729 7534 8972 11301 13458 15068 17944 20187 22602 26916 30136 33903 35888 40374 45204 53832 60272 60561 67806 71776 80748 90408 101709 107664 120544 121122 135612 143552 161496 180816 203418 215328 241088 242244 271224 322992 361632 406836 430656 484488 542448 645984 723264 813672 968976 1084896 1291968 1627344 1937952 2169792 3254688 3875904 6509376 8449381 16898762 25348143 33797524 50696286 67595048 76044429 101392572 135190096 152088858 202785144 228133287 270380192 304177716 405570288 456266574 540760384 608355432 811140576 912533148 1216710864 1622281152 1825066296 2433421728 3650132592 4866843456 7300265184 14600530368