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130635046080 = 26335711217851
BaseRepresentation
bin111100110101001110…
…1001001110011000000
3110111012011212221002000
41321222131021303000
54120020032433310
6140002442224000
712303154366440
oct1715235116300
9414164787060
10130635046080
1150447094700
12213994b5000
13c41b621146
146473976120
1535e89a54c0
hex1e6a749cc0

130635046080 has 672 divisors, whose sum is σ = 578953213440. Its totient is φ = 27143424000.

The previous prime is 130635046063. The next prime is 130635046093. The reversal of 130635046080 is 80640536031.

130635046080 is a `hidden beast` number, since 1 + 30 + 63 + 504 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7309155 + ... + 7327005.

It is an arithmetic number, because the mean of its divisors is an integer number (861537520).

Almost surely, 2130635046080 is an apocalyptic number.

130635046080 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 130635046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289476606720).

130635046080 is an abundant number, since it is smaller than the sum of its proper divisors (448318167360).

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

130635046080 is a wasteful number, since it uses less digits than its factorization.

130635046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17906 (or 17879 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 130635046080 in words is "one hundred thirty billion, six hundred thirty-five million, forty-six thousand, eighty".