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20739898368000 = 2133105373
BaseRepresentation
bin1001011011100111000100…
…10001100110000000000000
32201102201022011210000000000
410231303202101212000000
510204300302440234000
6112035440000000000
74240260005256000
oct455634221460000
981381264700000
1020739898368000
116676817a39089
1223ab646000000
13b759c173a946
14519b60436000
1525e75ba4c000
hex12dce2466000

20739898368000 has 2464 divisors, whose sum is σ = 90548107041600. Its totient is φ = 4740548198400.

The previous prime is 20739898367963. The next prime is 20739898368001. The reversal of 20739898368000 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.

20739898368000 is a `hidden beast` number, since 207 + 398 + 9 + 8 + 36 + 8 + 0 + 0 + 0 = 666.

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 (20739898368001) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 2962842623997 + ... + 2962842624003.

Almost surely, 220739898368000 is an apocalyptic number.

20739898368000 is a gapful number since it is divisible by the number (20) 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 20739898368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45274053520800).

20739898368000 is an abundant number, since it is smaller than the sum of its proper divisors (69808208673600).

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

20739898368000 is an frugal number, since it uses more digits than its factorization.

20739898368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

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

The spelling of 20739898368000 in words is "twenty trillion, seven hundred thirty-nine billion, eight hundred ninety-eight million, three hundred sixty-eight thousand".