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12653164152 = 23321911381853
BaseRepresentation
bin10111100100010111…
…11111011001111000
31012122211011100010100
423302023333121320
5201403202223102
65451321115400
7625362056256
oct136213773170
935584140110
1012653164152
115403421562
122551628b60
131268585aa5
148806835d6
154e0c90a1c
hex2f22ff678

12653164152 has 96 divisors (see below), whose sum is σ = 36392288400. Its totient is φ = 3960327168.

The previous prime is 12653164151. The next prime is 12653164157. The reversal of 12653164152 is 25146135621.

12653164152 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 3 + 1 + 641 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12653164151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113658 + ... + 195510.

Almost surely, 212653164152 is an apocalyptic number.

12653164152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12653164152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196144200).

12653164152 is an abundant number, since it is smaller than the sum of its proper divisors (23739124248).

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

12653164152 is a wasteful number, since it uses less digits than its factorization.

12653164152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81997 (or 81990 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 12653164152 its reverse (25146135621), we get a palindrome (37799299773).

The spelling of 12653164152 in words is "twelve billion, six hundred fifty-three million, one hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 113 114 152 171 226 228 339 342 452 456 678 684 904 1017 1356 1368 2034 2147 2712 4068 4294 6441 8136 8588 12882 17176 19323 25764 38646 51528 77292 81853 154584 163706 245559 327412 491118 654824 736677 982236 1473354 1555207 1964472 2946708 3110414 4665621 5893416 6220828 9249389 9331242 12441656 13996863 18498778 18662484 27748167 27993726 36997556 37324968 55496334 55987452 73995112 83244501 110992668 111974904 166489002 175738391 221985336 332978004 351476782 527215173 665956008 702953564 1054430346 1405907128 1581645519 2108860692 3163291038 4217721384 6326582076 12653164152