Search a number
-
+
12514424544 = 253247924529
BaseRepresentation
bin10111010011110101…
…01111011011100000
31012022011002122011100
423221322233123200
5201112143041134
65425443314400
7622055565516
oct135172573340
935264078140
1012514424544
115342080426
12251307ba00
1312458ca34b
1486a08a4b6
154d39d7999
hex2e9eaf6e0

12514424544 has 72 divisors (see below), whose sum is σ = 36345123360. Its totient is φ = 4082715648.

The previous prime is 12514424543. The next prime is 12514424579. The reversal of 12514424544 is 44542441521.

12514424544 is a `hidden beast` number, since 1 + 2 + 51 + 44 + 24 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×125144245442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12514424499 and 12514424508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514424543) 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, 448729 + ... + 475800.

It is an arithmetic number, because the mean of its divisors is an integer number (504793380).

Almost surely, 212514424544 is an apocalyptic number.

It is an amenable number.

12514424544 is an abundant number, since it is smaller than the sum of its proper divisors (23830698816).

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

12514424544 is a wasteful number, since it uses less digits than its factorization.

12514424544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924592 (or 924581 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The spelling of 12514424544 in words is "twelve billion, five hundred fourteen million, four hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 924529 1849058 2773587 3698116 5547174 7396232 8320761 11094348 14792464 16641522 22188696 29584928 33283044 43452863 44377392 66566088 86905726 88754784 130358589 133132176 173811452 260717178 266264352 347622904 391075767 521434356 695245808 782151534 1042868712 1390491616 1564303068 2085737424 3128606136 4171474848 6257212272 12514424544