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20159339616 = 2534134791249
BaseRepresentation
bin10010110001100101…
…110001110001100000
31221000221100120010000
4102301211301301200
5312241242331431
613132220340000
71312365362613
oct226145616140
957027316100
1020159339616
118605470259
123aa73a4600
131b936c6930
14d9352217a
157cec429e6
hex4b1971c60

20159339616 has 240 divisors, whose sum is σ = 64033200000. Its totient is φ = 6184968192.

The previous prime is 20159339591. The next prime is 20159339617. The reversal of 20159339616 is 61693395102.

20159339616 is a `hidden beast` number, since 20 + 1 + 5 + 9 + 3 + 3 + 9 + 616 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20159339617) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16139760 + ... + 16141008.

It is an arithmetic number, because the mean of its divisors is an integer number (266805000).

Almost surely, 220159339616 is an apocalyptic number.

20159339616 is a gapful number since it is divisible by the number (26) 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 20159339616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016600000).

20159339616 is an abundant number, since it is smaller than the sum of its proper divisors (43873860384).

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

20159339616 is a wasteful number, since it uses less digits than its factorization.

20159339616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 20159339616 in words is "twenty billion, one hundred fifty-nine million, three hundred thirty-nine thousand, six hundred sixteen".