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20579980992 = 263472419463
BaseRepresentation
bin10011001010101010…
…011001011011000000
31222010020212100121020
4103022222121123000
5314121433342432
613242044225440
71325663644404
oct231252313300
958106770536
1020579980992
11880095435a
123ba423b280
131c2c8b455c
14dd333b104
15806b3222c
hex4caa996c0

20579980992 has 112 divisors (see below), whose sum is σ = 55846382592. Its totient is φ = 6685470720.

The previous prime is 20579980951. The next prime is 20579981017. The reversal of 20579980992 is 29908997502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170053 + ... + 2179515.

It is an arithmetic number, because the mean of its divisors is an integer number (498628416).

Almost surely, 220579980992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20579980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27923191296).

20579980992 is an abundant number, since it is smaller than the sum of its proper divisors (35266401600).

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

20579980992 is a wasteful number, since it uses less digits than its factorization.

20579980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9766 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 20579980992 in words is "twenty billion, five hundred seventy-nine million, nine hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 241 282 376 482 564 723 752 964 1128 1446 1504 1928 2256 2892 3008 3856 4512 5784 7712 9024 9463 11327 11568 15424 18926 22654 23136 28389 33981 37852 45308 46272 56778 67962 75704 90616 113556 135924 151408 181232 227112 271848 302816 362464 444761 454224 543696 605632 724928 889522 908448 1087392 1334283 1779044 1816896 2174784 2280583 2668566 3558088 4561166 5337132 6841749 7116176 9122332 10674264 13683498 14232352 18244664 21348528 27366996 28464704 36489328 42697056 54733992 72978656 85394112 107187401 109467984 145957312 214374802 218935968 321562203 428749604 437871936 643124406 857499208 1286248812 1714998416 2572497624 3429996832 5144995248 6859993664 10289990496 20579980992