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20196746073504 = 25337211132298849
BaseRepresentation
bin1001001011110011010111…
…11000000001010110100000
32122111210022221220121011000
410211321223320001112200
510121400413443323004
6110542131305152000
74153111124035500
oct445715370012640
978453287817130
1020196746073504
1164874346a3090
12232232148b600
13b36711432a00
144db756117a00
1525056c808c39
hex125e6be015a0

20196746073504 has 1728 divisors, whose sum is σ = 83747578320000. Its totient is φ = 4674869821440.

The previous prime is 20196746073499. The next prime is 20196746073521. The reversal of 20196746073504 is 40537064769102.

20196746073504 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 6 + 7 + 4 + 60 + 73 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2282371672 + ... + 2282380520.

It is an arithmetic number, because the mean of its divisors is an integer number (48465033750).

Almost surely, 220196746073504 is an apocalyptic number.

20196746073504 is a gapful number since it is divisible by the number (24) 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 20196746073504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41873789160000).

20196746073504 is an abundant number, since it is smaller than the sum of its proper divisors (63550832246496).

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

20196746073504 is a wasteful number, since it uses less digits than its factorization.

20196746073504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 20196746073504 in words is "twenty trillion, one hundred ninety-six billion, seven hundred forty-six million, seventy-three thousand, five hundred four".