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130574317855744 = 2107213923672
BaseRepresentation
bin11101101100000110110011…
…110101010010010000000000
3122010022210010201101020110001
4131230012303311102100000
5114103312200332340434
61141413002530445344
736334453215012400
oct3554066365222000
9563283121336401
10130574317855744
1138672291400714
121278a216a33854
1357b214a57c219
142435b8b64c800
15101680e8ec114
hex76c1b3d52400

130574317855744 has 297 divisors, whose sum is σ = 306672581896083. Its totient is φ = 55406445244416.

The previous prime is 130574317855711. The next prime is 130574317855769. The reversal of 130574317855744 is 447558713475031.

The square root of 130574317855744 is 11426912.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 355788331849 + ... + 355788332215.

Almost surely, 2130574317855744 is an apocalyptic number.

130574317855744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130574317855744 is the 11426912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130574317855744

130574317855744 is an abundant number, since it is smaller than the sum of its proper divisors (176098264040339).

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

130574317855744 is an frugal number, since it uses more digits than its factorization.

130574317855744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 64.

130574317855744 divided by its sum of digits (64) gives a square (2040223716496 = 14283642).

The spelling of 130574317855744 in words is "one hundred thirty trillion, five hundred seventy-four billion, three hundred seventeen million, eight hundred fifty-five thousand, seven hundred forty-four".