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20836221338241 = 32971215672
BaseRepresentation
bin1001011110011010011111…
…00100100100001010000001
32201202220221002102212200100
410233031033210210022001
510212340040130310431
6112152010011313013
74250236663100061
oct457151744441201
981686832385610
1020836221338241
116703656823311
12240624844b769
13b81b02509b1a
1452069adb53a1
15261ee805b4e6
hex12f34f924281

20836221338241 has 27 divisors (see below), whose sum is σ = 30147030398433. Its totient is φ = 13867653084840.

The previous prime is 20836221338239. The next prime is 20836221338279. The reversal of 20836221338241 is 14283312263802.

The square root of 20836221338241 is 4564671.

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

20836221338241 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 6 + 221 + 3 + 382 + 41 = 666.

It is not a de Polignac number, because 20836221338241 - 21 = 20836221338239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20836221338221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13296885840 + ... + 13296887406.

Almost surely, 220836221338241 is an apocalyptic number.

20836221338241 is the 4564671-st square number.

20836221338241 is the 2282336-th centered octagonal number.

It is an amenable number.

20836221338241 is a deficient number, since it is larger than the sum of its proper divisors (9310809060192).

20836221338241 is an frugal number, since it uses more digits than its factorization.

20836221338241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 20836221338241 in words is "twenty trillion, eight hundred thirty-six billion, two hundred twenty-one million, three hundred thirty-eight thousand, two hundred forty-one".

Divisors: 1 3 9 971 1567 2913 4701 8739 14103 942841 1521557 2455489 2828523 4564671 7366467 8485569 13694013 22099401 1477431847 2384279819 4432295541 7152839457 13296886623 21458518371 2315135704249 6945407112747 20836221338241