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10442653137 = 337192413733
BaseRepresentation
bin10011011100110111…
…00011110111010001
3222221202200202002000
421232123203313101
5132341304400022
64444114144213
7516531041610
oct115633436721
928852622060
1010442653137
114479672954
122035282069
13ca56140c7
14710c6b877
15411b996ac
hex26e6e3dd1

10442653137 has 96 divisors (see below), whose sum is σ = 19120469760. Its totient is φ = 5513806080.

The previous prime is 10442653073. The next prime is 10442653141. The reversal of 10442653137 is 73135624401.

It is not a de Polignac number, because 10442653137 - 26 = 10442653073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442653147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2795523 + ... + 2799255.

It is an arithmetic number, because the mean of its divisors is an integer number (199171560).

Almost surely, 210442653137 is an apocalyptic number.

It is an amenable number.

10442653137 is a deficient number, since it is larger than the sum of its proper divisors (8677816623).

10442653137 is a wasteful number, since it uses less digits than its factorization.

10442653137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10442653137 in words is "ten billion, four hundred forty-two million, six hundred fifty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 19 21 27 41 57 63 123 133 171 189 287 361 369 399 513 779 861 1083 1107 1197 2337 2527 2583 3249 3591 3733 5453 7011 7581 7749 9747 11199 14801 16359 21033 22743 26131 33597 44403 49077 68229 70927 78393 100791 103607 133209 147231 153053 212781 235179 310821 399627 459159 496489 638343 705537 932463 1071371 1347613 1377477 1489467 1915029 2797389 2908007 3214113 4042839 4132431 4468401 8724021 9433291 9642339 12128517 13405203 20356049 26172063 28299873 28927017 36385551 55252133 61068147 78516189 84899619 165756399 183204441 254698857 386764931 497269197 549613323 1160294793 1491807591 3480884379 10442653137