Search a number
-
+
88048912896 = 29347303299
BaseRepresentation
bin101001000000000011…
…1111100101000000000
322102021021120012210000
41102000013330220000
52420311010203041
6104241001440000
76234635260650
oct1220007745000
9272237505700
1088048912896
113438335250a
12150934a0000
1383c2842579
144393b36360
152454e2bbb6
hex14801fca00

88048912896 has 200 divisors, whose sum is σ = 300347071200. Its totient is φ = 25156749312.

The previous prime is 88048912859. The next prime is 88048912927. The reversal of 88048912896 is 69821984088.

It is a super-2 number, since 2×880489128962 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138655 + ... + 441953.

It is an arithmetic number, because the mean of its divisors is an integer number (1501735356).

Almost surely, 288048912896 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 88048912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150173535600).

88048912896 is an abundant number, since it is smaller than the sum of its proper divisors (212298158304).

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

88048912896 is an equidigital number, since it uses as much as digits as its factorization.

88048912896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303336 (or 303311 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 88048912896 in words is "eighty-eight billion, forty-eight million, nine hundred twelve thousand, eight hundred ninety-six".