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12574290502272 = 27366191494713
BaseRepresentation
bin1011011011111010111000…
…0111100110001010000000
31122112002102220222100120010
42312332232013212022000
53122004121332033042
642424314352344520
72435314432516452
oct266765607461200
948462386870503
1012574290502272
1140087aa1a5214
1214b0b94545140
1370299ab2a435
1431685558c2d2
1516c145b6e59c
hexb6fae1e6280

12574290502272 has 64 divisors (see below), whose sum is σ = 33401031269760. Its totient is φ = 4191358371840.

The previous prime is 12574290502259. The next prime is 12574290502343. The reversal of 12574290502272 is 27220509247521.

12574290502272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×125742905022722 (a number of 27 digits) contains 22 as substring.

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

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, 25169988 + ... + 25664700.

It is an arithmetic number, because the mean of its divisors is an integer number (521891113590).

Almost surely, 212574290502272 is an apocalyptic number.

12574290502272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12574290502272 is an abundant number, since it is smaller than the sum of its proper divisors (20826740767488).

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

12574290502272 is an equidigital number, since it uses as much as digits as its factorization.

12574290502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560921 (or 560909 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

Adding to 12574290502272 its reverse (27220509247521), we get a palindrome (39794799749793).

The spelling of 12574290502272 in words is "twelve trillion, five hundred seventy-four billion, two hundred ninety million, five hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 66191 132382 198573 264764 397146 494713 529528 794292 989426 1059056 1484139 1588584 1978852 2118112 2968278 3177168 3957704 4236224 5936556 6354336 7915408 8472448 11873112 12708672 15830816 23746224 25417344 31661632 47492448 63323264 94984896 189969792 32745548183 65491096366 98236644549 130982192732 196473289098 261964385464 392946578196 523928770928 785893156392 1047857541856 1571786312784 2095715083712 3143572625568 4191430167424 6287145251136 12574290502272