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130520499446400 = 2735275507352691
BaseRepresentation
bin11101101011010100101100…
…000000010110001010000000
3122010010122020000112202220220
4131223110230000112022000
5114101421440324241100
61141332142323303040
736330536436045030
oct3553245400261200
9563118200482826
10130520499446400
1138651484303168
121277b8b721aa80
1357aa0516ca9ab
142433323b578c0
15101520ec01aa0
hex76b52c016280

130520499446400 has 384 divisors, whose sum is σ = 491407061506560. Its totient is φ = 29827755110400.

The previous prime is 130520499446399. The next prime is 130520499446497. The reversal of 130520499446400 is 4644994025031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 369894055 + ... + 370246745.

It is an arithmetic number, because the mean of its divisors is an integer number (1279705889340).

Almost surely, 2130520499446400 is an apocalyptic number.

130520499446400 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 130520499446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245703530753280).

130520499446400 is an abundant number, since it is smaller than the sum of its proper divisors (360886562060160).

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

130520499446400 is a wasteful number, since it uses less digits than its factorization.

130520499446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358232 (or 358215 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 130520499446400 in words is "one hundred thirty trillion, five hundred twenty billion, four hundred ninety-nine million, four hundred forty-six thousand, four hundred".