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130789223460 = 2232571941227587
BaseRepresentation
bin111100111001110100…
…1010010110000100100
3110111120220222221200100
41321303221102300210
54120324020122320
6140030030544100
712310036025250
oct1716351226044
9414526887610
10130789223460
115051611a425
1221421068030
13c44455356c
14648a22b260
1536072ac790
hex1e73a52c24

130789223460 has 576 divisors, whose sum is σ = 491896903680. Its totient is φ = 27461928960.

The previous prime is 130789223429. The next prime is 130789223473. The reversal of 130789223460 is 64322987031.

130789223460 is a `hidden beast` number, since 1 + 30 + 78 + 92 + 2 + 3 + 460 = 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 191 ways as a sum of consecutive naturals, for example, 222809287 + ... + 222809873.

It is an arithmetic number, because the mean of its divisors is an integer number (853987680).

Almost surely, 2130789223460 is an apocalyptic number.

130789223460 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 130789223460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245948451840).

130789223460 is an abundant number, since it is smaller than the sum of its proper divisors (361107680220).

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

130789223460 is a wasteful number, since it uses less digits than its factorization.

130789223460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 130789223460 in words is "one hundred thirty billion, seven hundred eighty-nine million, two hundred twenty-three thousand, four hundred sixty".