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20082574369 = 1121329912
BaseRepresentation
bin10010101101000000…
…111100010000100001
31220211120220110222201
4102231000330100201
5312112114334434
613120435133201
71310444031334
oct225500742041
956746813881
1020082574369
1185760a9400
123a85744201
131b80829a00
14d8725c61b
157c812c614
hex4ad03c421

20082574369 has 27 divisors (see below), whose sum is σ = 23927013747. Its totient is φ = 16835504400.

The previous prime is 20082574319. The next prime is 20082574409. The reversal of 20082574369 is 96347528002.

The square root of 20082574369 is 141713.

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., 2970795025 + 17111779344 = 54505^2 + 130812^2 .

It is not a de Polignac number, because 20082574369 - 27 = 20082574241 is a prime.

It is a super-2 number, since 2×200825743692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20082574319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20264464 + ... + 20265454.

Almost surely, 220082574369 is an apocalyptic number.

20082574369 is the 141713-rd square number.

20082574369 is the 70857-th centered octagonal number.

It is an amenable number.

20082574369 is a deficient number, since it is larger than the sum of its proper divisors (3844439378).

20082574369 is an frugal number, since it uses more digits than its factorization.

20082574369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 20082574369 in words is "twenty billion, eighty-two million, five hundred seventy-four thousand, three hundred sixty-nine".

Divisors: 1 11 13 121 143 169 991 1573 1859 10901 12883 20449 119911 141713 167479 982081 1558843 1842269 10802891 12767053 20264959 118831801 140437583 165971689 1544813413 1825688579 20082574369