Search a number
-
+
21749541327 = 3222910552907
BaseRepresentation
bin10100010000010111…
…111010100111001111
32002010202121011202200
4110100113322213033
5324020340310302
613554104052543
71366655023323
oct242027724717
962122534680
1021749541327
11925105a348
12426ba64153
132087cab8a7
1410a47c5983
1587465881c
hex5105fa9cf

21749541327 has 12 divisors (see below), whose sum is σ = 31553194920. Its totient is φ = 14436375408.

The previous prime is 21749541301. The next prime is 21749541329. The reversal of 21749541327 is 72314594712.

21749541327 is a `hidden beast` number, since 2 + 1 + 74 + 9 + 541 + 32 + 7 = 666.

It is not a de Polignac number, because 21749541327 - 27 = 21749541199 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21749541329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5274393 + ... + 5278514.

It is an arithmetic number, because the mean of its divisors is an integer number (2629432910).

Almost surely, 221749541327 is an apocalyptic number.

21749541327 is a deficient number, since it is larger than the sum of its proper divisors (9803653593).

21749541327 is a wasteful number, since it uses less digits than its factorization.

21749541327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553142 (or 10553139 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 21749541327 in words is "twenty-one billion, seven hundred forty-nine million, five hundred forty-one thousand, three hundred twenty-seven".

Divisors: 1 3 9 229 687 2061 10552907 31658721 94976163 2416615703 7249847109 21749541327