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130741584384 = 2932931731297
BaseRepresentation
bin111100111000011001…
…1100100001000000000
3110111110121100122011010
41321300303210020000
54120224321200014
6140021205520520
712305620062645
oct1716063441000
9414417318133
10130741584384
11504a1241494
1221409113140
13c437713968
146483b89dcc
153602eec359
hex1e70ce4200

130741584384 has 320 divisors, whose sum is σ = 377322992640. Its totient is φ = 40131624960.

The previous prime is 130741584373. The next prime is 130741584397. The reversal of 130741584384 is 483485147031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100802424 + ... + 100803720.

It is an arithmetic number, because the mean of its divisors is an integer number (1179134352).

Almost surely, 2130741584384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130741584384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188661496320).

130741584384 is an abundant number, since it is smaller than the sum of its proper divisors (246581408256).

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

130741584384 is a wasteful number, since it uses less digits than its factorization.

130741584384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 130741584384 in words is "one hundred thirty billion, seven hundred forty-one million, five hundred eighty-four thousand, three hundred eighty-four".