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12145036736 = 26727109457
BaseRepresentation
bin10110100111110011…
…01000110111000000
31011100102000210100102
423103321220313000
5144333112133421
65325050141532
7606652052240
oct132371506700
934312023312
1012145036736
115172613948
12242b4218a8
1311b7216591
14832db3b20
154b136e60b
hex2d3e68dc0

12145036736 has 28 divisors (see below), whose sum is σ = 27543209328. Its totient is φ = 5205015552.

The previous prime is 12145036733. The next prime is 12145036753. The reversal of 12145036736 is 63763054121.

12145036736 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12145036736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145036733) 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 3 ways as a sum of consecutive naturals, for example, 13554281 + ... + 13555176.

Almost surely, 212145036736 is an apocalyptic number.

12145036736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12145036736 is an abundant number, since it is smaller than the sum of its proper divisors (15398172592).

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

12145036736 is an equidigital number, since it uses as much as digits as its factorization.

12145036736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27109476 (or 27109466 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 12145036736 in words is "twelve billion, one hundred forty-five million, thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 27109457 54218914 108437828 189766199 216875656 379532398 433751312 759064796 867502624 1518129592 1735005248 3036259184 6072518368 12145036736