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130924523520 = 21232571747127
BaseRepresentation
bin111100111101110110…
…1011011000000000000
3110111221100120220110200
41321323231123000000
54121113134223040
6140051302525200
712313301042130
oct1717355330000
9414840526420
10130924523520
115058553135a
122145a436800
13c4665a657b
1464a01aaac0
1536140d6630
hex1e7bb5b000

130924523520 has 1248 divisors, whose sum is σ = 565256060928. Its totient is φ = 27348959232.

The previous prime is 130924523497. The next prime is 130924523549. The reversal of 130924523520 is 25325429031.

130924523520 is a `hidden beast` number, since 1 + 3 + 0 + 92 + 45 + 2 + 3 + 520 = 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, 1030901697 + ... + 1030901823.

It is an arithmetic number, because the mean of its divisors is an integer number (452929536).

Almost surely, 2130924523520 is an apocalyptic number.

130924523520 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 130924523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282628030464).

130924523520 is an abundant number, since it is smaller than the sum of its proper divisors (434331537408).

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

130924523520 is a wasteful number, since it uses less digits than its factorization.

130924523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 130924523520 in words is "one hundred thirty billion, nine hundred twenty-four million, five hundred twenty-three thousand, five hundred twenty".