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130425546316224 = 26319259972771187
BaseRepresentation
bin11101101001111100010000…
…010110111001100111000000
3122002210120010120110222112210
4131221330100112321213000
5114043343004324104344
61141220400244222120
736320635423543515
oct3551742026714700
9562716116428483
10130425546316224
1138615188788065
121276541769a940
1357a10cb67a573
14242c8b70b930c
151012a03acadb9
hex769f105b99c0

130425546316224 has 672 divisors, whose sum is σ = 375860987631360. Its totient is φ = 39893218689024.

The previous prime is 130425546316171. The next prime is 130425546316337. The reversal of 130425546316224 is 422613645524031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109878302959 + ... + 109878304145.

It is an arithmetic number, because the mean of its divisors is an integer number (559316945880).

Almost surely, 2130425546316224 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 130425546316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187930493815680).

130425546316224 is an abundant number, since it is smaller than the sum of its proper divisors (245435441315136).

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

130425546316224 is a wasteful number, since it uses less digits than its factorization.

130425546316224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 130425546316224 in words is "one hundred thirty trillion, four hundred twenty-five billion, five hundred forty-six million, three hundred sixteen thousand, two hundred twenty-four".