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21274742106 = 23217281247421
BaseRepresentation
bin10011110100000100…
…101100110101011010
32000220200011212200100
4103310010230311122
5322032313221411
613435023320230
71352131216122
oct236404546532
960820155610
1021274742106
1190280456a2
124158a50076
13201080b1c7
14105b70dc82
15847b1c456
hex4f412cd5a

21274742106 has 48 divisors (see below), whose sum is σ = 48980648808. Its totient is φ = 6650649600.

The previous prime is 21274742077. The next prime is 21274742117. The reversal of 21274742106 is 60124747212.

It can be written as a sum of positive squares in 4 ways, for example, as 17491385025 + 3783357081 = 132255^2 + 61509^2 .

It is a super-2 number, since 2×212747421062 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 37725 + ... + 209696.

Almost surely, 221274742106 is an apocalyptic number.

21274742106 is an abundant number, since it is smaller than the sum of its proper divisors (27705906702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21274742106 is a wasteful number, since it uses less digits than its factorization.

21274742106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247727 (or 247724 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 21274742106 in words is "twenty-one billion, two hundred seventy-four million, seven hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 281 306 562 843 1686 2529 4777 5058 9554 14331 28662 42993 85986 247421 494842 742263 1484526 2226789 4206157 4453578 8412314 12618471 25236942 37855413 69525301 75710826 139050602 208575903 417151806 625727709 1181930117 1251455418 2363860234 3545790351 7091580702 10637371053 21274742106