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12545634690 = 2325413399901
BaseRepresentation
bin10111010111100011…
…10011000110000010
31012101022211021102200
423223301303012002
5201143140302230
65432520254030
7622615064301
oct135361630602
935338737380
1012545634690
115358758036
122521611316
13124c2070a4
14870292438
154d6600160
hex2ebc73182

12545634690 has 48 divisors (see below), whose sum is σ = 33414236856. Its totient is φ = 3263904000.

The previous prime is 12545634677. The next prime is 12545634691. The reversal of 12545634690 is 9643654521.

12545634690 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 5 + 634 + 6 + 9 + 0 = 666.

12545634690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4257171009 + 8288463681 = 65247^2 + 91041^2 .

It is a super-2 number, since 2×125456346902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12545634691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1696261 + ... + 1703640.

Almost surely, 212545634690 is an apocalyptic number.

12545634690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12545634690 is an abundant number, since it is smaller than the sum of its proper divisors (20868602166).

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

12545634690 is a wasteful number, since it uses less digits than its factorization.

12545634690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399955 (or 3399952 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12545634690 in words is "twelve billion, five hundred forty-five million, six hundred thirty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 3399901 6799802 10199703 16999505 20399406 30599109 33999010 50998515 61198218 101997030 139395941 152995545 278791882 305991090 418187823 696979705 836375646 1254563469 1393959410 2090939115 2509126938 4181878230 6272817345 12545634690