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20739898368 = 21031073
BaseRepresentation
bin10011010100001100…
…011011110000000000
31222112101210000000000
4103110030123300000
5314433403221433
613310000000000
71332645141000
oct232414336000
958471700000
1020739898368
11888314a682
124029900000
131c56a76517
14100a688000
15815bc0113
hex4d431bc00

20739898368 has 484 divisors, whose sum is σ = 72523572400. Its totient is φ = 5925685248.

The previous prime is 20739898367. The next prime is 20739898369. The reversal of 20739898368 is 86389893702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20739898368 is a `hidden beast` number, since 207 + 398 + 9 + 8 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20739898367) and next prime (20739898369).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20739898363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2962842621 + ... + 2962842627.

Almost surely, 220739898368 is an apocalyptic number.

20739898368 is a gapful number since it is divisible by the number (28) 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 20739898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36261786200).

20739898368 is an abundant number, since it is smaller than the sum of its proper divisors (51783674032).

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

20739898368 is an frugal number, since it uses more digits than its factorization.

20739898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

Multiplying 20739898368 by its sum of digits (63), we get a square (1306613597184 = 11430722).

20739898368 divided by its sum of digits (63) gives a square (329204736 = 181442).

The spelling of 20739898368 in words is "twenty billion, seven hundred thirty-nine million, eight hundred ninety-eight thousand, three hundred sixty-eight".