Search a number
-
+
24156195840 = 210345753157
BaseRepresentation
bin10110011111110100…
…100100110000000000
32022100111010220010000
4112133310210300000
5343432441231330
615032555040000
71513420163640
oct263764446000
968314126100
1024156195840
11a2765a7517
124821a40000
13237c78740a
141252298520
15965a96560
hex59fd24c00

24156195840 has 880 divisors, whose sum is σ = 101436743232. Its totient is φ = 5382733824.

The previous prime is 24156195829. The next prime is 24156195863. The reversal of 24156195840 is 4859165142.

24156195840 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 61 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153861042 + ... + 153861198.

Almost surely, 224156195840 is an apocalyptic number.

24156195840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24156195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50718371616).

24156195840 is an abundant number, since it is smaller than the sum of its proper divisors (77280547392).

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

24156195840 is a wasteful number, since it uses less digits than its factorization.

24156195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 24156195840 in words is "twenty-four billion, one hundred fifty-six million, one hundred ninety-five thousand, eight hundred forty".