Search a number
-
+
188390048147840 = 2757311113690419
BaseRepresentation
bin101010110101011011111001…
…111001100010100110000000
3220201000220122100221212001202
4222311123321321202212000
5144143040304311212330
61504401105432520332
754452506004663000
oct5265337171424600
9821026570855052
10188390048147840
1155032852952040
1219167305b500a8
13811714a4aa516
1434741ac61a000
1516ba6ce01a445
hexab56f9e62980

188390048147840 has 512 divisors, whose sum is σ = 578030670720000. Its totient is φ = 58199254794240.

The previous prime is 188390048147783. The next prime is 188390048147863. The reversal of 188390048147840 is 48741840093881.

188390048147840 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1883900481478402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272518151 + ... + 273208569.

It is an arithmetic number, because the mean of its divisors is an integer number (1128966153750).

Almost surely, 2188390048147840 is an apocalyptic number.

188390048147840 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 188390048147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289015335360000).

188390048147840 is an abundant number, since it is smaller than the sum of its proper divisors (389640622572160).

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

188390048147840 is a wasteful number, since it uses less digits than its factorization.

188390048147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690583 (or 690557 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 65.

The spelling of 188390048147840 in words is "one hundred eighty-eight trillion, three hundred ninety billion, forty-eight million, one hundred forty-seven thousand, eight hundred forty".