Search a number
-
+
21911835681 = 326139912269
BaseRepresentation
bin10100011010000011…
…000001010000100001
32002120001222120202200
4110122003001100201
5324333412220211
614022142403413
71403665346601
oct243203012041
962501876680
1021911835681
11932472950a
1242b6290569
1320b27c3758
1410bc190c01
15883a15b56
hex51a0c1421

21911835681 has 12 divisors (see below), whose sum is σ = 32169289620. Its totient is φ = 14368416480.

The previous prime is 21911835607. The next prime is 21911835691. The reversal of 21911835681 is 18653811912.

21911835681 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 1 + 83 + 568 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1474560000 + 20437275681 = 38400^2 + 142959^2 .

It is a de Polignac number, because none of the positive numbers 2k-21911835681 is a prime.

It is a super-2 number, since 2×219118356812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21911835691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19955586 + ... + 19956683.

It is an arithmetic number, because the mean of its divisors is an integer number (2680774135).

Almost surely, 221911835681 is an apocalyptic number.

It is an amenable number.

21911835681 is a deficient number, since it is larger than the sum of its proper divisors (10257453939).

21911835681 is a wasteful number, since it uses less digits than its factorization.

21911835681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39912336 (or 39912333 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 21911835681 in words is "twenty-one billion, nine hundred eleven million, eight hundred thirty-five thousand, six hundred eighty-one".

Divisors: 1 3 9 61 183 549 39912269 119736807 359210421 2434648409 7303945227 21911835681