Search a number
-
+
104887897920 = 26355131943127
BaseRepresentation
bin110000110101111001…
…1100100111101000000
3101000201211002021200000
41201223303210331000
53204302300213140
6120103531400000
710402135264521
oct1415363447500
9330654067600
10104887897920
1140534536163
12183b28b3000
139b7737b230
1451102a0848
152add3eaa30
hex186bce4f40

104887897920 has 1344 divisors, whose sum is σ = 437398241280. Its totient is φ = 23702740992.

The previous prime is 104887897859. The next prime is 104887897973. The reversal of 104887897920 is 29798788401.

104887897920 is a `hidden beast` number, since 1 + 0 + 488 + 7 + 89 + 79 + 2 + 0 = 666.

It is a super-2 number, since 2×1048878979202 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 825888897 + ... + 825889023.

It is an arithmetic number, because the mean of its divisors is an integer number (325445120).

Almost surely, 2104887897920 is an apocalyptic number.

104887897920 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 104887897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218699120640).

104887897920 is an abundant number, since it is smaller than the sum of its proper divisors (332510343360).

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

104887897920 is a wasteful number, since it uses less digits than its factorization.

104887897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 104887897920 in words is "one hundred four billion, eight hundred eighty-seven million, eight hundred ninety-seven thousand, nine hundred twenty".