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130459982625 = 32537217219431
BaseRepresentation
bin111100110000000000…
…1010101101100100001
3110110201222110210011100
41321200001111230201
54114140223421000
6135533230105013
712265630361400
oct1714001255441
9413658423140
10130459982625
1150367293965
122134a94b169
13c3c12881bb
146458605637
1535d8424a00
hex1e60055b21

130459982625 has 432 divisors, whose sum is σ = 306616078080. Its totient is φ = 53053056000.

The previous prime is 130459982599. The next prime is 130459982641. The reversal of 130459982625 is 526289954031.

130459982625 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 5 + 9 + 9 + 8 + 2 + 625 = 666.

It is not a de Polignac number, because 130459982625 - 25 = 130459982593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 302691160 + ... + 302691590.

It is an arithmetic number, because the mean of its divisors is an integer number (709759440).

Almost surely, 2130459982625 is an apocalyptic number.

130459982625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130459982625 is an abundant number, since it is smaller than the sum of its proper divisors (176156095455).

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

130459982625 is a wasteful number, since it uses less digits than its factorization.

130459982625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 130459982625 in words is "one hundred thirty billion, four hundred fifty-nine million, nine hundred eighty-two thousand, six hundred twenty-five".