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12459749088 = 2531024312671
BaseRepresentation
bin10111001101010100…
…01010111011100000
31012011100012211112110
423212222022323200
5201004143432323
65420211355320
7620523056043
oct134652127340
935140184473
1012459749088
1153142269a6
1224b88b2b40
131237495ac7
14862ad6c5a
154cdcd7793
hex2e6a8aee0

12459749088 has 48 divisors (see below), whose sum is σ = 32712615936. Its totient is φ = 4152516480.

The previous prime is 12459749087. The next prime is 12459749131. The reversal of 12459749088 is 88094795421.

12459749088 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12459749087) 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 7 ways as a sum of consecutive naturals, for example, 976993 + ... + 989663.

It is an arithmetic number, because the mean of its divisors is an integer number (681512832).

Almost surely, 212459749088 is an apocalyptic number.

It is an amenable number.

12459749088 is an abundant number, since it is smaller than the sum of its proper divisors (20252866848).

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

12459749088 is a wasteful number, since it uses less digits than its factorization.

12459749088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 12459749088 in words is "twelve billion, four hundred fifty-nine million, seven hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10243 12671 20486 25342 30729 38013 40972 50684 61458 76026 81944 101368 122916 152052 163888 202736 245832 304104 327776 405472 491664 608208 983328 1216416 129789053 259578106 389367159 519156212 778734318 1038312424 1557468636 2076624848 3114937272 4153249696 6229874544 12459749088