Search a number
-
+
14992249932 = 22331121147249
BaseRepresentation
bin11011111011001101…
…11001010001001100
31102200211120012121000
431331212321101030
5221201003444212
610515355540300
71040344010322
oct157546712114
942624505530
1014992249932
1163a3809300
122aa4a5a690
13154c06460a
14a231a7d12
155cb2d31dc
hex37d9b944c

14992249932 has 72 divisors (see below), whose sum is σ = 42723590000. Its totient is φ = 4543102080.

The previous prime is 14992249913. The next prime is 14992249933. The reversal of 14992249932 is 23994229941.

14992249932 is a `hidden beast` number, since 1 + 499 + 22 + 49 + 93 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14992249933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560557 + ... + 586692.

Almost surely, 214992249932 is an apocalyptic number.

14992249932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14992249932 is an abundant number, since it is smaller than the sum of its proper divisors (27731340068).

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

14992249932 is a wasteful number, since it uses less digits than its factorization.

14992249932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147284 (or 1147265 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 14992249932 in words is "fourteen billion, nine hundred ninety-two million, two hundred forty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 13068 1147249 2294498 3441747 4588996 6883494 10325241 12619739 13766988 20650482 25239478 30975723 37859217 41300964 50478956 61951446 75718434 113577651 123902892 138817129 151436868 227155302 277634258 340732953 416451387 454310604 555268516 681465906 832902774 1249354161 1362931812 1665805548 2498708322 3748062483 4997416644 7496124966 14992249932