Search a number
-
+
12157863168 = 283112413191
BaseRepresentation
bin10110101001010101…
…00100010100000000
31011101022011102220110
423110222210110000
5144344403110133
65330225111320
7610166063133
oct132452442400
934338142813
1012157863168
115179884600
122433788540
1311b9a87799
1483499221a
154b2554c63
hex2d4aa4500

12157863168 has 216 divisors, whose sum is σ = 36445566528. Its totient is φ = 3593216000.

The previous prime is 12157863167. The next prime is 12157863197. The reversal of 12157863168 is 86136875121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157863167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3808453 + ... + 3811643.

Almost surely, 212157863168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12157863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222783264).

12157863168 is an abundant number, since it is smaller than the sum of its proper divisors (24287703360).

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

12157863168 is a wasteful number, since it uses less digits than its factorization.

12157863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3248 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 12157863168 in words is "twelve billion, one hundred fifty-seven million, eight hundred sixty-three thousand, one hundred sixty-eight".