Search a number
-
+
12469501512 = 23321313322117
BaseRepresentation
bin10111001110011110…
…10111111001001000
31012012000120022100100
423213033113321020
5201014143022022
65421200405400
7621002004546
oct134717277110
935160508310
1012469501512
115319788056
122500016860
1312394cba80
14864114d96
154ceab21ac
hex2e73d7e48

12469501512 has 48 divisors (see below), whose sum is σ = 36369382140. Its totient is φ = 3836769408.

The previous prime is 12469501487. The next prime is 12469501529. The reversal of 12469501512 is 21510596421.

12469501512 is a `hidden beast` number, since 12 + 46 + 95 + 0 + 1 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12429128196 + 40373316 = 111486^2 + 6354^2 .

It is a super-2 number, since 2×124695015122 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6660123 + ... + 6661994.

Almost surely, 212469501512 is an apocalyptic number.

12469501512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12469501512 is an abundant number, since it is smaller than the sum of its proper divisors (23899880628).

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

12469501512 is a wasteful number, since it uses less digits than its factorization.

12469501512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322142 (or 13322135 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 12469501512 in words is "twelve billion, four hundred sixty-nine million, five hundred one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 13322117 26644234 39966351 53288468 79932702 106576936 119899053 159865404 173187521 239798106 319730808 346375042 479596212 519562563 692750084 959192424 1039125126 1385500168 1558687689 2078250252 3117375378 4156500504 6234750756 12469501512