Search a number
-
+
16232323356 = 2232435323733
BaseRepresentation
bin11110001111000010…
…11001100100011100
31112220020222110112100
433013201121210130
5231220433321411
611242415005100
71113152320614
oct170741314434
945806873470
1016232323356
11697a7a5877
123190209790
1316b8c49b82
14addb69a44
156500d7456
hex3c785991c

16232323356 has 108 divisors (see below), whose sum is σ = 42804529768. Its totient is φ = 5183837568.

The previous prime is 16232323351. The next prime is 16232323357. The reversal of 16232323356 is 65332323261.

16232323356 is a `hidden beast` number, since 1 + 623 + 2 + 3 + 23 + 3 + 5 + 6 = 666.

16232323356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16232323356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16232323351) 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 35 ways as a sum of consecutive naturals, for example, 4346466 + ... + 4350198.

Almost surely, 216232323356 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 16232323356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402264884).

16232323356 is an abundant number, since it is smaller than the sum of its proper divisors (26572206412).

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

16232323356 is a wasteful number, since it uses less digits than its factorization.

16232323356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3834 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 16232323356 in words is "sixteen billion, two hundred thirty-two million, three hundred twenty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 53 86 106 129 159 172 212 258 318 387 477 516 636 774 954 1548 1908 2279 2809 3733 4558 5618 6837 7466 8427 9116 11199 11236 13674 14932 16854 20511 22398 25281 27348 33597 33708 41022 44796 50562 67194 82044 101124 120787 134388 160519 197849 241574 321038 362361 395698 481557 483148 593547 642076 724722 791396 963114 1087083 1187094 1444671 1449444 1780641 1926228 2174166 2374188 2889342 3561282 4348332 5778684 7122564 8507507 10485997 17015014 20971994 25522521 31457991 34030028 41943988 51045042 62915982 76567563 94373973 102090084 125831964 153135126 188747946 306270252 377495892 450897871 901795742 1352693613 1803591484 2705387226 4058080839 5410774452 8116161678 16232323356