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12149823168 = 263273013349
BaseRepresentation
bin10110101000010111…
…11001011011000000
31011100202000222002200
423110023321123000
5144340323320133
65325340513200
7610040535660
oct132413713300
934322028080
1012149823168
115175292a7a
122430b4b800
1311b82010a2
1483389c1a0
154b19b7913
hex2d42f96c0

12149823168 has 84 divisors (see below), whose sum is σ = 39800326800. Its totient is φ = 3471376896.

The previous prime is 12149823139. The next prime is 12149823197. The reversal of 12149823168 is 86132894121.

12149823168 is a `hidden beast` number, since 121 + 498 + 2 + 31 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12149823139) and next prime (12149823197).

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1502643 + ... + 1510706.

Almost surely, 212149823168 is an apocalyptic number.

12149823168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12149823168 is an abundant number, since it is smaller than the sum of its proper divisors (27650503632).

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

12149823168 is a wasteful number, since it uses less digits than its factorization.

12149823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013374 (or 3013361 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 12149823168 in words is "twelve billion, one hundred forty-nine million, eight hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 3013349 6026698 9040047 12053396 18080094 21093443 24106792 27120141 36160188 42186886 48213584 54240282 63280329 72320376 84373772 96427168 108480564 126560658 144640752 168747544 189840987 192854336 216961128 253121316 289281504 337495088 379681974 433922256 506242632 578563008 674990176 759363948 867844512 1012485264 1349980352 1518727896 1735689024 2024970528 3037455792 4049941056 6074911584 12149823168