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130039378560 = 27335713412017
BaseRepresentation
bin111100100011011110…
…0110111001010000000
3110102122200000212212000
41321012330313022000
54112310040103220
6135423403104000
712252332323440
oct1710674671200
9412580025760
10130039378560
11501709258a3
1221251b12000
13c3550b1560
1464187da120
1535b1541390
hex1e46f37280

130039378560 has 1024 divisors, whose sum is σ = 580951526400. Its totient is φ = 26754416640.

The previous prime is 130039378559. The next prime is 130039378603. The reversal of 130039378560 is 65873930031.

130039378560 is a `hidden beast` number, since 13 + 0 + 0 + 3 + 9 + 3 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64470672 + ... + 64472688.

It is an arithmetic number, because the mean of its divisors is an integer number (567335475).

Almost surely, 2130039378560 is an apocalyptic number.

130039378560 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 130039378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290475763200).

130039378560 is an abundant number, since it is smaller than the sum of its proper divisors (450912147840).

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

130039378560 is a wasteful number, since it uses less digits than its factorization.

130039378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 130039378560 in words is "one hundred thirty billion, thirty-nine million, three hundred seventy-eight thousand, five hundred sixty".