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12852267168 = 2531326339157
BaseRepresentation
bin10111111100000111…
…00000100010100000
31020011200210211010010
423332003200202200
5202310140022133
65523152404520
7633330316446
oct137603404240
936150724103
1012852267168
1154a5851604
1225a8246740
13129a8b7a20
1489ccb0b96
155034be263
hex2fe0e08a0

12852267168 has 96 divisors (see below), whose sum is σ = 36471447936. Its totient is φ = 3939406848.

The previous prime is 12852267167. The next prime is 12852267191. The reversal of 12852267168 is 86176225821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12852267163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308646 + ... + 347802.

It is an arithmetic number, because the mean of its divisors is an integer number (379910916).

Almost surely, 212852267168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12852267168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235723968).

12852267168 is an abundant number, since it is smaller than the sum of its proper divisors (23619180768).

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

12852267168 is a wasteful number, since it uses less digits than its factorization.

12852267168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39446 (or 39438 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The spelling of 12852267168 in words is "twelve billion, eight hundred fifty-two million, two hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 263 312 416 526 624 789 1052 1248 1578 2104 3156 3419 4208 6312 6838 8416 10257 12624 13676 20514 25248 27352 39157 41028 54704 78314 82056 109408 117471 156628 164112 234942 313256 328224 469884 509041 626512 939768 1018082 1253024 1527123 1879536 2036164 3054246 3759072 4072328 6108492 8144656 10298291 12216984 16289312 20596582 24433968 30894873 41193164 48867936 61789746 82386328 123579492 133877783 164772656 247158984 267755566 329545312 401633349 494317968 535511132 803266698 988635936 1071022264 1606533396 2142044528 3213066792 4284089056 6426133584 12852267168