Search a number
-
+
10090695636 = 22337219100357
BaseRepresentation
bin10010110010111001…
…11100101111010100
3222001020102110011000
421121130330233110
5131131204230021
64345142343300
7505025332500
oct113134745724
928036373130
1010090695636
114308a30a8a
121b5742ab30
13c4a723c28
146ba211300
153e0d25b26
hex25973cbd4

10090695636 has 144 divisors (see below), whose sum is σ = 32034273600. Its totient is φ = 2731288896.

The previous prime is 10090695547. The next prime is 10090695653. The reversal of 10090695636 is 63659609001.

10090695636 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 6 + 9 + 5 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10090695591 and 10090695600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50370 + ... + 150726.

Almost surely, 210090695636 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 10090695636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017136800).

10090695636 is an abundant number, since it is smaller than the sum of its proper divisors (21943577964).

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

10090695636 is a wasteful number, since it uses less digits than its factorization.

10090695636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100403 (or 100388 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 10090695636 in words is "ten billion, ninety million, six hundred ninety-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1596 1764 1862 2052 2394 2646 2793 3591 3724 4788 5292 5586 7182 8379 11172 14364 16758 25137 33516 50274 100357 100548 200714 301071 401428 602142 702499 903213 1204284 1404998 1806426 1906783 2107497 2709639 2809996 3612852 3813566 4214994 4917493 5419278 5720349 6322491 7627132 8429988 9834986 10838556 11440698 12644982 13347481 14752479 17161047 18967473 19669972 22881396 25289964 26694962 29504958 34322094 37934946 40042443 44257437 51483141 53389924 59009916 68644188 75869892 80084886 88514874 93432367 102966282 120127329 132772311 160169772 177029748 186864734 205932564 240254658 265544622 280297101 360381987 373729468 480509316 531089244 560594202 720763974 840891303 1121188404 1441527948 1681782606 2522673909 3363565212 5045347818 10090695636