Search a number
-
+
102427853880 = 233511475927983
BaseRepresentation
bin101111101100100101…
…1010000010000111000
3100210101101002002122210
41133121023100100320
53134233012311010
6115015452215120
710254154251462
oct1373113202070
9323341062583
10102427853880
113a491942710
1217a26a6a4a0
1398747cb581
144d59691132
1529e7463b20
hex17d92d0438

102427853880 has 256 divisors, whose sum is σ = 348165734400. Its totient is φ = 23889912320.

The previous prime is 102427853837. The next prime is 102427853881. The reversal of 102427853880 is 88358724201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102427853881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3646369 + ... + 3674351.

It is an arithmetic number, because the mean of its divisors is an integer number (1360022400).

Almost surely, 2102427853880 is an apocalyptic number.

102427853880 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 102427853880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174082867200).

102427853880 is an abundant number, since it is smaller than the sum of its proper divisors (245737880520).

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

102427853880 is a wasteful number, since it uses less digits than its factorization.

102427853880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28114 (or 28110 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 102427853880 in words is "one hundred two billion, four hundred twenty-seven million, eight hundred fifty-three thousand, eight hundred eighty".