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21738439845 = 3253127092
BaseRepresentation
bin10100001111101101…
…100100010010100101
32002002222201011101200
4110033231210102211
5324010020033340
613553030113113
71366461455433
oct241755442245
962088634350
1021738439845
119245867671
1242681ab799
1320858c2875
1410a3135d53
158736b4330
hex50fb644a5

21738439845 has 54 divisors (see below), whose sum is σ = 38989646514. Its totient is φ = 11204015040.

The previous prime is 21738439747. The next prime is 21738439889. The reversal of 21738439845 is 54893483712.

It is a happy number.

21738439845 is a `hidden beast` number, since 2 + 173 + 84 + 398 + 4 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 174398436 + 21564041409 = 13206^2 + 146847^2 .

It is not a de Polignac number, because 21738439845 - 28 = 21738439589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21738439791 and 21738439800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 30660351 + ... + 30661059.

It is an arithmetic number, because the mean of its divisors is an integer number (722030491).

Almost surely, 221738439845 is an apocalyptic number.

It is an amenable number.

21738439845 is a deficient number, since it is larger than the sum of its proper divisors (17251206669).

21738439845 is an frugal number, since it uses more digits than its factorization.

21738439845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 748 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 21738439845 in words is "twenty-one billion, seven hundred thirty-eight million, four hundred thirty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 709 961 1395 2127 2883 3545 4805 6381 8649 10635 14415 21979 31905 43245 65937 109895 197811 329685 502681 681349 989055 1508043 2044047 2513405 3406745 4524129 6132141 7540215 10220235 15583111 22620645 30660705 46749333 77915555 140247999 233746665 483076441 701239995 1449229323 2415382205 4347687969 7246146615 21738439845