Search a number
-
+
104647394880 = 2633572247183
BaseRepresentation
bin110000101110101111…
…0001000011001000000
3101000010001112110112000
41201131132020121000
53203304213114010
6120024020504000
710363155115500
oct1413536103100
9330101473460
10104647394880
11404207a9716
121834624b000
139b395b2442
1450ca377a00
152ac72407c0
hex185d788640

104647394880 has 336 divisors, whose sum is σ = 429447594240. Its totient is φ = 23919307776.

The previous prime is 104647394821. The next prime is 104647394947. The reversal of 104647394880 is 88493746401.

104647394880 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 473 + 94 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-5 number, since 5×1046473948805 (a number of 56 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299769 + ... + 546951.

It is an arithmetic number, because the mean of its divisors is an integer number (1278117840).

Almost surely, 2104647394880 is an apocalyptic number.

104647394880 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 104647394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214723797120).

104647394880 is an abundant number, since it is smaller than the sum of its proper divisors (324800199360).

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

104647394880 is a wasteful number, since it uses less digits than its factorization.

104647394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247223 (or 247200 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 104647394880 in words is "one hundred four billion, six hundred forty-seven million, three hundred ninety-four thousand, eight hundred eighty".