Search a number
-
+
104555510400 = 27352111931412
BaseRepresentation
bin110000101011111111…
…1100111101010000000
3100222212122122020201010
41201113333213222000
53203112202313100
6120010535240520
710360661113635
oct1412777475200
9328778566633
10104555510400
1140383950530
121831b519140
139b23550823
1450bc09a18c
152abe140750
hex1857fe7a80

104555510400 has 1152 divisors, whose sum is σ = 418416076800. Its totient is φ = 22671360000.

The previous prime is 104555510399. The next prime is 104555510453. The reversal of 104555510400 is 4015555401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2550134380 + ... + 2550134420.

It is an arithmetic number, because the mean of its divisors is an integer number (363208400).

Almost surely, 2104555510400 is an apocalyptic number.

104555510400 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 104555510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209208038400).

104555510400 is an abundant number, since it is smaller than the sum of its proper divisors (313860566400).

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

104555510400 is a wasteful number, since it uses less digits than its factorization.

104555510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 104555510400 in words is "one hundred four billion, five hundred fifty-five million, five hundred ten thousand, four hundred".