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13046708394720 = 253257113131931127
BaseRepresentation
bin1011110111011010110001…
…1010110101101011100000
31201012020211112120211022200
42331312230122311223200
53202224124322112340
643425324115333200
72514410411404320
oct275665432655340
951166745524280
1013046708394720
114180094842000
1215686582b1200
137383b77c4ac0
1433166d523280
15179595086330
hexbddac6b5ae0

13046708394720 has 4608 divisors, whose sum is σ = 66006118563840. Its totient is φ = 2276215603200.

The previous prime is 13046708394697. The next prime is 13046708394823. The reversal of 13046708394720 is 2749380764031.

13046708394720 is a `hidden beast` number, since 1 + 30 + 4 + 67 + 0 + 83 + 9 + 472 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 102729987297 + ... + 102729987423.

It is an arithmetic number, because the mean of its divisors is an integer number (14324244480).

Almost surely, 213046708394720 is an apocalyptic number.

13046708394720 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 13046708394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33003059281920).

13046708394720 is an abundant number, since it is smaller than the sum of its proper divisors (52959410169120).

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

13046708394720 is a wasteful number, since it uses less digits than its factorization.

13046708394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 13046708394720 in words is "thirteen trillion, forty-six billion, seven hundred eight million, three hundred ninety-four thousand, seven hundred twenty".