Search a number
-
+
12902850432 = 273211200391
BaseRepresentation
bin11000000010001000…
…11101111110000000
31020022012222201022100
430001010131332000
5202411112203212
65532200510400
7634513263513
oct140104357600
936265881270
1012902850432
11552136055a
12260117b400
1312a8218754
148a58bad7a
15507b61bdc
hex30111df80

12902850432 has 48 divisors (see below), whose sum is σ = 37129299480. Its totient is φ = 4300949760.

The previous prime is 12902850397. The next prime is 12902850437. The reversal of 12902850432 is 23405820921.

It is a happy number.

12902850432 is a `hidden beast` number, since 12 + 90 + 28 + 504 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 (12902850437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5599044 + ... + 5601347.

Almost surely, 212902850432 is an apocalyptic number.

12902850432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12902850432 is an abundant number, since it is smaller than the sum of its proper divisors (24226449048).

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

12902850432 is a wasteful number, since it uses less digits than its factorization.

12902850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200411 (or 11200396 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12902850432 in words is "twelve billion, nine hundred two million, eight hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11200391 22400782 33601173 44801564 67202346 89603128 100803519 134404692 179206256 201607038 268809384 358412512 403214076 537618768 716825024 806428152 1075237536 1433650048 1612856304 2150475072 3225712608 4300950144 6451425216 12902850432