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12909958884 = 22322926532
BaseRepresentation
bin11000000010111111…
…00101011011100100
31020022201100212021100
430001133211123210
5202414422141014
65533013120100
7634630561044
oct140137453344
936281325240
1012909958884
115525376209
122603629030
1312a9837134
148a680b724
155085b8009
hex3017e56e4

12909958884 has 81 divisors (see below), whose sum is σ = 33849440443. Its totient is φ = 4148566464.

The previous prime is 12909958877. The next prime is 12909958889. The reversal of 12909958884 is 48885990921.

The square root of 12909958884 is 113622.

It is a perfect power (a square), and thus also a powerful number.

12909958884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 838102500 + 12071856384 = 28950^2 + 109872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12909958889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19769902 + ... + 19770554.

Almost surely, 212909958884 is an apocalyptic number.

12909958884 is the 113622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12909958884

12909958884 is an abundant number, since it is smaller than the sum of its proper divisors (20939481559).

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

12909958884 is an equidigital number, since it uses as much as digits as its factorization.

12909958884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 12909958884 in words is "twelve billion, nine hundred nine million, nine hundred fifty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 653 841 1044 1306 1682 1959 2523 2612 3364 3918 5046 5877 7569 7836 10092 11754 15138 18937 23508 30276 37874 56811 75748 113622 170433 227244 340866 426409 549173 681732 852818 1098346 1279227 1647519 1705636 2196692 2558454 3295038 3837681 4942557 5116908 6590076 7675362 9885114 12365861 15350724 19770228 24731722 37097583 49463444 74195166 111292749 148390332 222585498 358609969 445170996 717219938 1075829907 1434439876 2151659814 3227489721 4303319628 6454979442 12909958884