Search a number
-
+
88050110400 = 2634527711367
BaseRepresentation
bin101001000000000110…
…0100000111111000000
322102021100211001110000
41102000030200333000
52420311312013100
6104241043240000
76234651406140
oct1220014407700
9272240731400
1088050110400
1134383aa018a
1215093979000
1383c2b71655
144393d68920
1524550b6900
hex1480320fc0

88050110400 has 840 divisors, whose sum is σ = 375369831936. Its totient is φ = 19827763200.

The previous prime is 88050110377. The next prime is 88050110411. The reversal of 88050110400 is 401105088.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64410517 + ... + 64411883.

Almost surely, 288050110400 is an apocalyptic number.

88050110400 is a gapful number since it is divisible by the number (80) 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 88050110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187684915968).

88050110400 is an abundant number, since it is smaller than the sum of its proper divisors (287319721536).

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

88050110400 is a wasteful number, since it uses less digits than its factorization.

88050110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 88050110400 its reverse (401105088), we get a palindrome (88451215488).

The spelling of 88050110400 in words is "eighty-eight billion, fifty million, one hundred ten thousand, four hundred".