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20204919738304 = 267972232084983
BaseRepresentation
bin1001001100000010100110…
…00100000100111111000000
32122112120102121002210100221
410212001103010010333000
510122014133423111204
6110550002331152424
74153520514040150
oct446012304047700
978476377083327
1020204919738304
11648a9494a6464
122323a228a5714
13b3741493c262
144dbccd8aa760
1525089a1aa654
hex126053104fc0

20204919738304 has 112 divisors (see below), whose sum is σ = 46501881868288. Its totient is φ = 8531546185728.

The previous prime is 20204919738257. The next prime is 20204919738349. The reversal of 20204919738304 is 40383791940202.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 8648197 + ... + 10733179.

It is an arithmetic number, because the mean of its divisors is an integer number (415195373824).

Almost surely, 220204919738304 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 20204919738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250940934144).

20204919738304 is an abundant number, since it is smaller than the sum of its proper divisors (26296962129984).

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

20204919738304 is a wasteful number, since it uses less digits than its factorization.

20204919738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085322 (or 2085312 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 20204919738304 in words is "twenty trillion, two hundred four billion, nine hundred nineteen million, seven hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 223 224 388 446 448 679 776 892 1358 1552 1561 1784 2716 3104 3122 3568 5432 6208 6244 7136 10864 12488 14272 21631 21728 24976 43262 43456 49952 86524 99904 151417 173048 302834 346096 605668 692192 1211336 1384384 2084983 2422672 4169966 4845344 8339932 9690688 14594881 16679864 29189762 33359728 58379524 66719456 116759048 133438912 202243351 233518096 404486702 464951209 467036192 808973404 929902418 934072384 1415703457 1617946808 1859804836 2831406914 3235893616 3254658463 3719609672 5662813828 6471787232 6509316926 7439219344 11325627656 12943574464 13018633852 14878438688 22651255312 26037267704 29756877376 45100267273 45302510624 52074535408 90200534546 90605021248 104149070816 180401069092 208298141632 315701870911 360802138184 631403741822 721604276368 1262807483644 1443208552736 2525614967288 2886417105472 5051229934576 10102459869152 20204919738304