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20685342976 = 288921012
BaseRepresentation
bin10011010000111100…
…010100100100000000
31222101121010022001221
4103100330110210000
5314330421433401
613300330404424
71331413341244
oct232074244400
958347108057
1020685342976
118855378381
124013590714
131c4868481c
141003326424
15810ee57a1
hex4d0f14900

20685342976 has 81 divisors (see below), whose sum is σ = 42176577163. Its totient is φ = 10125209600.

The previous prime is 20685342971. The next prime is 20685342983. The reversal of 20685342976 is 67924358602.

The square root of 20685342976 is 143824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1308702976 + 19376640000 = 36176^2 + 139200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20685342971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204805326 + ... + 204805426.

Almost surely, 220685342976 is an apocalyptic number.

20685342976 is the 143824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20685342976

20685342976 is an abundant number, since it is smaller than the sum of its proper divisors (21491234187).

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

20685342976 is an frugal number, since it uses more digits than its factorization.

20685342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 20685342976 in words is "twenty billion, six hundred eighty-five million, three hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 89 101 128 178 202 256 356 404 712 808 1424 1616 2848 3232 5696 6464 7921 8989 10201 11392 12928 15842 17978 20402 22784 25856 31684 35956 40804 63368 71912 81608 126736 143824 163216 253472 287648 326432 506944 575296 652864 800021 907889 1013888 1150592 1305728 1600042 1815778 2027776 2301184 2611456 3200084 3631556 6400168 7263112 12800336 14526224 25600672 29052448 51201344 58104896 80802121 102402688 116209792 161604242 204805376 232419584 323208484 646416968 1292833936 2585667872 5171335744 10342671488 20685342976