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12825282432 = 273213715629
BaseRepresentation
bin10111111000111001…
…00100011110000000
31020002211000212000110
423330130210132000
5202231233014212
65520350151320
7632552046654
oct137434443600
936084025013
1012825282432
1154915a0576
12259b1b2540
13129512a321
14899488a64
15500e3da3c
hex2fc724780

12825282432 has 64 divisors (see below), whose sum is σ = 34085278800. Its totient is φ = 4272820224.

The previous prime is 12825282373. The next prime is 12825282499. The reversal of 12825282432 is 23428252821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812794 + ... + 828422.

Almost surely, 212825282432 is an apocalyptic number.

12825282432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12825282432 is an abundant number, since it is smaller than the sum of its proper divisors (21259996368).

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

12825282432 is a wasteful number, since it uses less digits than its factorization.

12825282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17783 (or 17771 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The spelling of 12825282432 in words is "twelve billion, eight hundred twenty-five million, two hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2137 4274 6411 8548 12822 15629 17096 25644 31258 34192 46887 51288 62516 68384 93774 102576 125032 136768 187548 205152 250064 273536 375096 410304 500128 750192 820608 1000256 1500384 2000512 3000768 6001536 33399173 66798346 100197519 133596692 200395038 267193384 400790076 534386768 801580152 1068773536 1603160304 2137547072 3206320608 4275094144 6412641216 12825282432