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130613248480 = 2551113291011949
BaseRepresentation
bin111100110100100101…
…0000000000111100000
3110111010122212111101111
41321221022000013200
54114443442422410
6140000343113104
712302501202541
oct1715112000740
9414118774344
10130613248480
1150435856860
1221392142794
13c416c5b760
146470b004c8
1535e6aebb8a
hex1e692801e0

130613248480 has 384 divisors, whose sum is σ = 378928368000. Its totient is φ = 41889792000.

The previous prime is 130613248477. The next prime is 130613248517. The reversal of 130613248480 is 84842316031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67014546 + ... + 67016494.

It is an arithmetic number, because the mean of its divisors is an integer number (986792625).

Almost surely, 2130613248480 is an apocalyptic number.

130613248480 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 130613248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189464184000).

130613248480 is an abundant number, since it is smaller than the sum of its proper divisors (248315119520).

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

130613248480 is a wasteful number, since it uses less digits than its factorization.

130613248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 130613248480 in words is "one hundred thirty billion, six hundred thirteen million, two hundred forty-eight thousand, four hundred eighty".