Search a number
-
+
14522974992 = 2432555718149
BaseRepresentation
bin11011000011010001…
…10000001100010000
31101111010112120101200
431201220300030100
5214220340144432
610401033431200
71022615151651
oct154150601420
941433476350
1014522974992
116182928079
12299386b500
1314a5a79536
149bab2d528
1559eed8a7c
hex361a30310

14522974992 has 60 divisors (see below), whose sum is σ = 40653713100. Its totient is φ = 4839853824.

The previous prime is 14522974979. The next prime is 14522974993. The reversal of 14522974992 is 29947922541.

It is a happy number.

14522974992 is a `hidden beast` number, since 1 + 45 + 22 + 97 + 499 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9557799696 + 4965175296 = 97764^2 + 70464^2 .

It is not an unprimeable number, because it can be changed into a prime (14522974993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791134 + ... + 809282.

It is an arithmetic number, because the mean of its divisors is an integer number (677561885).

Almost surely, 214522974992 is an apocalyptic number.

14522974992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14522974992 is an abundant number, since it is smaller than the sum of its proper divisors (26130738108).

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

14522974992 is a wasteful number, since it uses less digits than its factorization.

14522974992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23720 (or 23711 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 14522974992 in words is "fourteen billion, five hundred twenty-two million, nine hundred seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5557 11114 16671 18149 22228 33342 36298 44456 50013 54447 66684 72596 88912 100026 108894 133368 145192 163341 200052 217788 266736 290384 326682 400104 435576 653364 800208 871152 1306728 2613456 100853993 201707986 302561979 403415972 605123958 806831944 907685937 1210247916 1613663888 1815371874 2420495832 3630743748 4840991664 7261487496 14522974992