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10536142086 = 2321910922593
BaseRepresentation
bin10011101000000000…
…01100010100000110
31000012021121110210200
421310000030110012
5133034223021321
64501254031330
7522044505261
oct116400142406
930167543720
1010536142086
114517417548
122060648546
13cbbab8102
1471d445cd8
15419eb4d26
hex27400c506

10536142086 has 72 divisors (see below), whose sum is σ = 24261630120. Its totient is φ = 3295406592.

The previous prime is 10536142079. The next prime is 10536142103. The reversal of 10536142086 is 68024163501.

It is a happy number.

10536142086 is a `hidden beast` number, since 1 + 0 + 536 + 1 + 42 + 0 + 86 = 666.

It is a super-2 number, since 2×105361420862 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10536142086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4062006 + ... + 4064598.

It is an arithmetic number, because the mean of its divisors is an integer number (336967085).

Almost surely, 210536142086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536142086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130815060).

10536142086 is an abundant number, since it is smaller than the sum of its proper divisors (13725488034).

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

10536142086 is a wasteful number, since it uses less digits than its factorization.

10536142086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10536142086 in words is "ten billion, five hundred thirty-six million, one hundred forty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1962 2071 2593 4142 5186 6213 7779 11881 12426 15558 18639 23337 23762 35643 37278 46674 49267 71286 98534 106929 147801 213858 225739 282637 295602 443403 451478 565274 677217 847911 886806 1354434 1695822 2031651 2543733 4063302 5087466 5370103 10740206 16110309 30807433 32220618 48330927 61614866 92422299 96661854 184844598 277266897 554533794 585341227 1170682454 1756023681 3512047362 5268071043 10536142086