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13860519828480 = 210335139538093
BaseRepresentation
bin1100100110110010011101…
…0111000101110000000000
31211002001102110101002122000
43021230213113011300000
53304042321034002410
645251233534544000
72630250413431143
oct311544727056000
954061373332560
1013860519828480
114464239111366
12167a318068000
1379706cc9a390
1435cbd1cb805a
15190825b5edc0
hexc9b275c5c00

13860519828480 has 704 divisors, whose sum is σ = 53109069793920. Its totient is φ = 3407819046912.

The previous prime is 13860519828479. The next prime is 13860519828521. The reversal of 13860519828480 is 8482891506831.

13860519828480 is a `hidden beast` number, since 1 + 3 + 8 + 60 + 5 + 1 + 98 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×138605198284802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1712651314 + ... + 1712659406.

Almost surely, 213860519828480 is an apocalyptic number.

13860519828480 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 13860519828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554534896960).

13860519828480 is an abundant number, since it is smaller than the sum of its proper divisors (39248549965440).

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

13860519828480 is a wasteful number, since it uses less digits than its factorization.

13860519828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 13860519828480 in words is "thirteen trillion, eight hundred sixty billion, five hundred nineteen million, eight hundred twenty-eight thousand, four hundred eighty".