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12359138148 = 22327107458357
BaseRepresentation
bin10111000001010100…
…10111101101100100
31011220022220021021100
423200222113231210
5200302414410043
65402215120100
7615161640510
oct134052275544
934808807240
1012359138148
115272458465
12248b073030
13121c69a1c6
148535c7140
154c5061cd3
hex2e0a97b64

12359138148 has 72 divisors (see below), whose sum is σ = 36037939392. Its totient is φ = 3498172992.

The previous prime is 12359138137. The next prime is 12359138161. The reversal of 12359138148 is 84183195321.

12359138148 is a `hidden beast` number, since 1 + 23 + 591 + 38 + 1 + 4 + 8 = 666.

12359138148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123591381482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 202215 + ... + 256142.

It is an arithmetic number, because the mean of its divisors is an integer number (500526936).

Almost surely, 212359138148 is an apocalyptic number.

12359138148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12359138148 is an abundant number, since it is smaller than the sum of its proper divisors (23678801244).

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

12359138148 is a wasteful number, since it uses less digits than its factorization.

12359138148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458481 (or 458476 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 12359138148 in words is "twelve billion, three hundred fifty-nine million, one hundred thirty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8988 13482 26964 458357 916714 1375071 1833428 2750142 3208499 4125213 5500284 6416998 8250426 9625497 12833996 16500852 19250994 28876491 38501988 49044199 57752982 98088398 115505964 147132597 196176796 294265194 343309393 441397791 588530388 686618786 882795582 1029928179 1373237572 1765591164 2059856358 3089784537 4119712716 6179569074 12359138148