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20998618281 = 3817892
BaseRepresentation
bin10011100011100111…
…010111110010101001
32000012102121100000000
4103203213113302221
5321001121241111
613351401133213
71342236211314
oct234347276251
960172540000
1020998618281
1189a6199793
1240a048a209
131c9854cc24
141032b9397b
1582d777c56
hex4e39d7ca9

20998618281 has 27 divisors (see below), whose sum is σ = 31513942551. Its totient is φ = 13991253768.

The previous prime is 20998618279. The next prime is 20998618301. The reversal of 20998618281 is 18281689902.

The square root of 20998618281 is 144909.

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

It can be written as a sum of positive squares in only one way, i.e., 19841257881 + 1157360400 = 140859^2 + 34020^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 20998618281 - 21 = 20998618279 is a prime.

It is a super-2 number, since 2×209986182812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20998618231) 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, 11736735 + ... + 11738523.

Almost surely, 220998618281 is an apocalyptic number.

20998618281 is the 144909-th square number.

20998618281 is the 72455-th centered octagonal number.

It is an amenable number.

20998618281 is a deficient number, since it is larger than the sum of its proper divisors (10515324270).

20998618281 is an frugal number, since it uses more digits than its factorization.

20998618281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 20998618281 in words is "twenty billion, nine hundred ninety-eight million, six hundred eighteen thousand, two hundred eighty-one".

Divisors: 1 3 9 27 81 243 729 1789 2187 5367 6561 16101 48303 144909 434727 1304181 3200521 3912543 9601563 11737629 28804689 86414067 259242201 777726603 2333179809 6999539427 20998618281