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130745225520 = 243357133143499
BaseRepresentation
bin111100111000100000…
…1011101000100110000
3110111110212012121212000
41321301001131010300
54120231234204040
6140021415534000
712305663036340
oct1716101350460
9414425177760
10130745225520
11504a32a9098
122140a38a300
13c4383ba090
146484456d20
1536034bb130
hex1e7105d130

130745225520 has 1280 divisors, whose sum is σ = 586629120000. Its totient is φ = 26022850560.

The previous prime is 130745225497. The next prime is 130745225549. The reversal of 130745225520 is 25522547031.

130745225520 is a `hidden beast` number, since 1 + 30 + 74 + 5 + 2 + 2 + 552 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 262014231 + ... + 262014729.

It is an arithmetic number, because the mean of its divisors is an integer number (458304000).

Almost surely, 2130745225520 is an apocalyptic number.

130745225520 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 130745225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293314560000).

130745225520 is an abundant number, since it is smaller than the sum of its proper divisors (455883894480).

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

130745225520 is a wasteful number, since it uses less digits than its factorization.

130745225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 130745225520 in words is "one hundred thirty billion, seven hundred forty-five million, two hundred twenty-five thousand, five hundred twenty".