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10562116149 = 331341733939
BaseRepresentation
bin10011101011000110…
…10001101000110101
31000021002111002112000
421311203101220311
5133112400204044
64504022445513
7522511335354
oct116543215065
930232432460
1010562116149
114530048212
122069293899
13cc42b0790
14722a8799b
1541c3e5d69
hex2758d1a35

10562116149 has 32 divisors (see below), whose sum is σ = 17262268800. Its totient is φ = 6341224320.

The previous prime is 10562116127. The next prime is 10562116153. The reversal of 10562116149 is 94161126501.

10562116149 is a `hidden beast` number, since 1 + 0 + 5 + 621 + 16 + 14 + 9 = 666.

10562116149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10562116149 - 225 = 10528561717 is a prime.

It is a super-2 number, since 2×105621161492 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10562115149) 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 31 ways as a sum of consecutive naturals, for example, 352579 + ... + 381360.

It is an arithmetic number, because the mean of its divisors is an integer number (539445900).

Almost surely, 210562116149 is an apocalyptic number.

It is an amenable number.

10562116149 is a deficient number, since it is larger than the sum of its proper divisors (6700152651).

10562116149 is a wasteful number, since it uses less digits than its factorization.

10562116149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734002 (or 733996 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10562116149 in words is "ten billion, five hundred sixty-two million, one hundred sixteen thousand, one hundred forty-nine".

Divisors: 1 3 9 13 27 39 41 117 123 351 369 533 1107 1599 4797 14391 733939 2201817 6605451 9541207 19816353 28623621 30091499 85870863 90274497 257612589 270823491 391189487 812470473 1173568461 3520705383 10562116149