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8139348720000 = 27335412729671
BaseRepresentation
bin111011001110001011011…
…1111010011100110000000
31001211010002012120211102000
41312130112333103212000
52031323341233020000
625151055402424000
71500022435411101
oct166342677234600
931733065524360
108139348720000
112658973184043
12ab5563502000
134706ca574674
14201d375b63a8
15e1aca8da000
hex76716fd3980

8139348720000 has 640 divisors, whose sum is σ = 30255755059200. Its totient is φ = 2153329920000.

The previous prime is 8139348719941. The next prime is 8139348720023. The reversal of 8139348720000 is 278439318.

8139348720000 is a `hidden beast` number, since 81 + 3 + 93 + 487 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 274305165 + ... + 274334835.

It is an arithmetic number, because the mean of its divisors is an integer number (47274617280).

Almost surely, 28139348720000 is an apocalyptic number.

8139348720000 is a gapful number since it is divisible by the number (80) 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 8139348720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127877529600).

8139348720000 is an abundant number, since it is smaller than the sum of its proper divisors (22116406339200).

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

8139348720000 is a wasteful number, since it uses less digits than its factorization.

8139348720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29841 (or 29808 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 8139348720000 in words is "eight trillion, one hundred thirty-nine billion, three hundred forty-eight million, seven hundred twenty thousand".