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130724336232 = 233273147672657
BaseRepresentation
bin111100110111111000…
…1110001001001101000
3110111102101220100010200
41321233301301021220
54120210412224412
6140015352112200
712305320344540
oct1715761611150
9414371810120
10130724336232
1150492530716
1221403395660
13c433c84c59
14648177a320
1536017419dc
hex1e6fc71268

130724336232 has 384 divisors, whose sum is σ = 433091543040. Its totient is φ = 34834821120.

The previous prime is 130724336227. The next prime is 130724336243. The reversal of 130724336232 is 232633427031.

130724336232 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 24 + 3 + 3 + 623 + 2 = 666.

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, 49198648 + ... + 49201304.

It is an arithmetic number, because the mean of its divisors is an integer number (1127842560).

Almost surely, 2130724336232 is an apocalyptic number.

130724336232 is a gapful number since it is divisible by the number (12) 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 130724336232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216545771520).

130724336232 is an abundant number, since it is smaller than the sum of its proper divisors (302367206808).

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

130724336232 is a wasteful number, since it uses less digits than its factorization.

130724336232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 130724336232 in words is "one hundred thirty billion, seven hundred twenty-four million, three hundred thirty-six thousand, two hundred thirty-two".