Search a number
-
+
130539894788160 = 263751113172772
BaseRepresentation
bin11101101011100110110000…
…000011101101000001000000
3122010012111021201022020000000
4131223212300003231001000
5114102231201031210120
61141345111053000000
736332124166531644
oct3553466003550100
9563174251266000
10130539894788160
1138659727492530
121278360a783000
1357abb22a38690
142434243a02c24
15101599782e990
hex76b9b00ed040

130539894788160 has 2688 divisors, whose sum is σ = 582023883732480. Its totient is φ = 27394133852160.

The previous prime is 130539894788159. The next prime is 130539894788197. The reversal of 130539894788160 is 61887498935031.

130539894788160 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 3 + 98 + 9 + 478 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 471263157942 + ... + 471263158218.

It is an arithmetic number, because the mean of its divisors is an integer number (216526742460).

Almost surely, 2130539894788160 is an apocalyptic number.

130539894788160 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 130539894788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291011941866240).

130539894788160 is an abundant number, since it is smaller than the sum of its proper divisors (451483988944320).

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

130539894788160 is an equidigital number, since it uses as much as digits as its factorization.

130539894788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 130539894788160 in words is "one hundred thirty trillion, five hundred thirty-nine billion, eight hundred ninety-four million, seven hundred eighty-eight thousand, one hundred sixty".