Search a number
-
+
23101836576 = 2537138213221
BaseRepresentation
bin10101100000111110…
…100000110100100000
32012122000011220002220
4111200332200310200
5334303032232301
614340212311040
71445325241140
oct254076406440
965560156086
1023101836576
119885425825
124588912480
1322421c68b0
14119223a920
15903228936
hex560fa0d20

23101836576 has 192 divisors, whose sum is σ = 74750812416. Its totient is φ = 6083481600.

The previous prime is 23101836551. The next prime is 23101836581. The reversal of 23101836576 is 67563810132.

It is a super-2 number, since 2×231018365762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7170646 + ... + 7173866.

It is an arithmetic number, because the mean of its divisors is an integer number (389327148).

Almost surely, 223101836576 is an apocalyptic number.

23101836576 is a gapful number since it is divisible by the number (26) 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 23101836576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37375406208).

23101836576 is an abundant number, since it is smaller than the sum of its proper divisors (51648975840).

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

23101836576 is a wasteful number, since it uses less digits than its factorization.

23101836576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 23101836576 in words is "twenty-three billion, one hundred one million, eight hundred thirty-six thousand, five hundred seventy-six".