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130965569280 = 283557213661
BaseRepresentation
bin111100111111000100…
…1111111111100000000
3110112001012211020200000
41321332021333330000
54121204141204110
6140055330400000
712314306654100
oct1717611777400
9415035736600
10130965569280
11505a6716677
1221470130000
13c471c480c0
1464a5813200
1536179e31c0
hex1e7e27ff00

130965569280 has 1296 divisors, whose sum is σ = 589568694624. Its totient is φ = 27590492160.

The previous prime is 130965569279. The next prime is 130965569299. The reversal of 130965569280 is 82965569031.

It is a happy number.

130965569280 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 6 + 556 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198132150 + ... + 198132810.

Almost surely, 2130965569280 is an apocalyptic number.

130965569280 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 130965569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294784347312).

130965569280 is an abundant number, since it is smaller than the sum of its proper divisors (458603125344).

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

130965569280 is an equidigital number, since it uses as much as digits as its factorization.

130965569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 130965569280 in words is "one hundred thirty billion, nine hundred sixty-five million, five hundred sixty-nine thousand, two hundred eighty".