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130808961360 = 2432572112959197
BaseRepresentation
bin111100111010011010…
…0100101100101010000
3110111122022010201222200
41321310310211211100
54120344043230420
6140032014003200
712310365553200
oct1716464454520
9414568121880
10130808961360
1150526280840
12214277a6500
13c4486745ac
14648cac8400
153608daab90
hex1e74d25950

130808961360 has 1440 divisors, whose sum is σ = 589454236800. Its totient is φ = 25668034560.

The previous prime is 130808961347. The next prime is 130808961373. The reversal of 130808961360 is 63169808031.

It is a happy number.

130808961360 is a `hidden beast` number, since 130 + 80 + 89 + 6 + 1 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (130808961347) and next prime (130808961373).

It is a super-2 number, since 2×1308089613602 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 664004782 + ... + 664004978.

It is an arithmetic number, because the mean of its divisors is an integer number (409343220).

Almost surely, 2130808961360 is an apocalyptic number.

130808961360 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 130808961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294727118400).

130808961360 is an abundant number, since it is smaller than the sum of its proper divisors (458645275440).

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

130808961360 is a wasteful number, since it uses less digits than its factorization.

130808961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 130808961360 in words is "one hundred thirty billion, eight hundred eight million, nine hundred sixty-one thousand, three hundred sixty".