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10685017134 = 23211411316213
BaseRepresentation
bin10011111001110000…
…00110110000101110
31000120122202002222100
421330320012300232
5133340331022014
64524132555530
7525533101311
oct117470066056
930518662870
1010685017134
114593460580
1220a2482ba6
1310138b1c5c
1473511a978
154280c1009
hex27ce06c2e

10685017134 has 48 divisors (see below), whose sum is σ = 25871502384. Its totient is φ = 3158908800.

The previous prime is 10685017087. The next prime is 10685017159. The reversal of 10685017134 is 43171058601.

10685017134 is a `hidden beast` number, since 10 + 6 + 8 + 501 + 7 + 134 = 666.

10685017134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106850171342 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 649989 + ... + 666224.

It is an arithmetic number, because the mean of its divisors is an integer number (538989633).

Almost surely, 210685017134 is an apocalyptic number.

10685017134 is an abundant number, since it is smaller than the sum of its proper divisors (15186485250).

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

10685017134 is a wasteful number, since it uses less digits than its factorization.

10685017134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316273 (or 1316270 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10685017134 in words is "ten billion, six hundred eighty-five million, seventeen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 1316213 2632426 3948639 7897278 11845917 14478343 23691834 28956686 43435029 53964733 86870058 107929466 130305087 161894199 260610174 323788398 485682597 593612063 971365194 1187224126 1780836189 3561672378 5342508567 10685017134