Search a number
-
+
188870068800 = 2632527338239
BaseRepresentation
bin1010111111100110001…
…0001000101001000000
3200001111200100121011100
42233321202020221000
511043301214200200
6222433221014400
716434243045000
oct2577142105100
9601450317140
10188870068800
1173110259156
1230730254400
1314a6c50147a
1491d9c6c000
154da62bbd00
hex2bf9888a40

188870068800 has 504 divisors, whose sum is σ = 782864576000. Its totient is φ = 43169172480.

The previous prime is 188870068769. The next prime is 188870068811. The reversal of 188870068800 is 8860078881.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4920081 + ... + 4958319.

Almost surely, 2188870068800 is an apocalyptic number.

188870068800 is a gapful number since it is divisible by the number (10) 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 188870068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391432288000).

188870068800 is an abundant number, since it is smaller than the sum of its proper divisors (593994507200).

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

188870068800 is a wasteful number, since it uses less digits than its factorization.

188870068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38288 (or 38256 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 188870068800 in words is "one hundred eighty-eight billion, eight hundred seventy million, sixty-eight thousand, eight hundred".