Search a number
-
+
21057009741 = 326185944651
BaseRepresentation
bin10011100111000110…
…000111100001001101
32000100111110221000200
4103213012013201031
5321111043302431
613401244444113
71343545425645
oct234706074115
960314427020
1021057009741
118a26151099
1240b7b49639
131ca76859a1
14103a833525
1583395dee6
hex4e718784d

21057009741 has 24 divisors (see below), whose sum is σ = 30950980320. Its totient is φ = 13791492000.

The previous prime is 21057009739. The next prime is 21057009751. The reversal of 21057009741 is 14790075012.

It is a happy number.

21057009741 is a `hidden beast` number, since 2 + 10 + 570 + 0 + 9 + 74 + 1 = 666.

It is not a de Polignac number, because 21057009741 - 21 = 21057009739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21057009696 and 21057009705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21057009751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 449266 + ... + 493916.

It is an arithmetic number, because the mean of its divisors is an integer number (1289624180).

Almost surely, 221057009741 is an apocalyptic number.

It is an amenable number.

21057009741 is a deficient number, since it is larger than the sum of its proper divisors (9893970579).

21057009741 is a wasteful number, since it uses less digits than its factorization.

21057009741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45577 (or 45574 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 21057009741 in words is "twenty-one billion, fifty-seven million, nine thousand, seven hundred forty-one".

Divisors: 1 3 9 61 183 549 859 2577 7731 44651 52399 133953 157197 401859 471591 2723711 8171133 24513399 38355209 115065627 345196881 2339667749 7019003247 21057009741