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20259338589520 = 2452311010510103
BaseRepresentation
bin1001001101100111111101…
…01011100001010101010000
32122201202220010202212021221
410212303332223201111100
510123412111134331040
6111031002304054424
74160455203454102
oct446637653412520
978652803685257
1020259338589520
116500a34523868
12233248b604414
13b3c5a8012534
145007b3021572
15251ed295e74a
hex126cfeae1550

20259338589520 has 40 divisors (see below), whose sum is σ = 49150917104256. Its totient is φ = 7751399111808.

The previous prime is 20259338589509. The next prime is 20259338589521. The reversal of 20259338589520 is 2598583395202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20259338589521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5505253212 + ... + 5505256891.

Almost surely, 220259338589520 is an apocalyptic number.

20259338589520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20259338589520 is an abundant number, since it is smaller than the sum of its proper divisors (28891578514736).

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

20259338589520 is a wasteful number, since it uses less digits than its factorization.

20259338589520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010510139 (or 11010510133 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 61.

The spelling of 20259338589520 in words is "twenty trillion, two hundred fifty-nine billion, three hundred thirty-eight million, five hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 11010510103 22021020206 44042040412 55052550515 88084080824 110105101030 176168161648 220210202060 253241732369 440420404120 506483464738 880840808240 1012966929476 1266208661845 2025933858952 2532417323690 4051867717904 5064834647380 10129669294760 20259338589520