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12155601160 = 2351949155921
BaseRepresentation
bin10110101001000011…
…11100000100001000
31011101010220112000101
423110201330010020
5144343313214120
65330104415144
7610140622303
oct132441740410
934333815011
1012155601160
11517857a07a
122432a774b4
1311b9475011
14834563b3a
154b225990a
hex2d487c108

12155601160 has 32 divisors (see below), whose sum is σ = 27364311000. Its totient is φ = 4859714560.

The previous prime is 12155601149. The next prime is 12155601173. The reversal of 12155601160 is 6110655121.

It is a happy number.

12155601160 is a nontrivial binomial coefficient, being equal to C(155921, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 10924012324 + 1231588836 = 104518^2 + 35094^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 155920.

Almost surely, 212155601160 is an apocalyptic number.

12155601160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12155601160 is the 155920-th triangular number.

12155601160 is the 51974-th centered nonagonal number.

It is an amenable number.

12155601160 is an abundant number, since it is smaller than the sum of its proper divisors (15208709840).

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

12155601160 is a wasteful number, since it uses less digits than its factorization.

12155601160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157881 (or 157877 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 12155601160 in words is "twelve billion, one hundred fifty-five million, six hundred one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1949 3898 7796 9745 15592 19490 38980 77960 155921 311842 623684 779605 1247368 1559210 3118420 6236840 303890029 607780058 1215560116 1519450145 2431120232 3038900290 6077800580 12155601160