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10689642036 = 22331492332851
BaseRepresentation
bin10011111010010011…
…01111111000110100
31000120222110002011000
421331021233320310
5133343022021121
64524420043300
7525620313063
oct117511577064
930528402130
1010689642036
11459602a307
1220a3b33530
131014841098
147359a21da
154286d6526
hex27d26fe34

10689642036 has 96 divisors (see below), whose sum is σ = 28029456000. Its totient is φ = 3522873600.

The previous prime is 10689642023. The next prime is 10689642059. The reversal of 10689642036 is 63024698601.

10689642036 is a `hidden beast` number, since 106 + 8 + 96 + 420 + 36 = 666.

It is a super-2 number, since 2×106896420362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10689641982 and 10689642000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3748011 + ... + 3750861.

It is an arithmetic number, because the mean of its divisors is an integer number (291973500).

Almost surely, 210689642036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10689642036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014728000).

10689642036 is an abundant number, since it is smaller than the sum of its proper divisors (17339813964).

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

10689642036 is a wasteful number, since it uses less digits than its factorization.

10689642036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10689642036 in words is "ten billion, six hundred eighty-nine million, six hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 233 298 447 466 596 699 894 932 1341 1398 1788 2097 2682 2796 2851 4023 4194 5364 5702 6291 8046 8388 8553 11404 12582 16092 17106 25164 25659 34212 34717 51318 69434 76977 102636 104151 138868 153954 208302 307908 312453 416604 424799 624906 664283 849598 937359 1249812 1274397 1328566 1699196 1874718 1992849 2548794 2657132 3749436 3823191 3985698 5097588 5978547 7646382 7971396 11469573 11957094 15292764 17935641 22939146 23914188 35871282 45878292 71742564 98978167 197956334 296934501 395912668 593869002 890803503 1187738004 1781607006 2672410509 3563214012 5344821018 10689642036