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20099976503040 = 28325719531271949
BaseRepresentation
bin1001001000111111000111…
…11101011001111100000000
32122011112112220220002010200
410210133203331121330000
510113304222441044130
6110425445101325200
74143114104205060
oct444374375317400
978145486802120
1020099976503040
11644a396804565
122307615566800
13b2a55bc87445
144d6bb61233a0
1524cca6ecd760
hex1247e3f59f00

20099976503040 has 1728 divisors, whose sum is σ = 85955530752000. Its totient is φ = 4234555293696.

The previous prime is 20099976503039. The next prime is 20099976503077. The reversal of 20099976503040 is 4030567999002.

20099976503040 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 9 + 97 + 6 + 503 + 0 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 10312967986 + ... + 10312969934.

It is an arithmetic number, because the mean of its divisors is an integer number (49742784000).

Almost surely, 220099976503040 is an apocalyptic number.

20099976503040 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 20099976503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42977765376000).

20099976503040 is an abundant number, since it is smaller than the sum of its proper divisors (65855554248960).

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

20099976503040 is a wasteful number, since it uses less digits than its factorization.

20099976503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 20099976503040 in words is "twenty trillion, ninety-nine billion, nine hundred seventy-six million, five hundred three thousand, forty".