Search a number
-
+
107046323136 = 2632185844311
BaseRepresentation
bin110001110110001110…
…1010100001111000000
3101020022020112122102200
41203230131110033000
53223212324320021
6121102034113200
710506464506434
oct1435435241700
9336266478380
10107046323136
1141441949a55
12188b571b800
13a12c5b430c
145276bd89c4
152bb7b54126
hex18ec7543c0

107046323136 has 42 divisors (see below), whose sum is σ = 306828959112. Its totient is φ = 35682107520.

The previous prime is 107046323117. The next prime is 107046323141. The reversal of 107046323136 is 631323640701.

107046323136 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 632 + 3 + 13 + 6 = 666.

It is a super-2 number, since 2×1070463231362 (a number of 23 digits) contains 22 as substring.

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 107046323136.

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 5 ways as a sum of consecutive naturals, for example, 92921580 + ... + 92922731.

Almost surely, 2107046323136 is an apocalyptic number.

107046323136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107046323136 is an abundant number, since it is smaller than the sum of its proper divisors (199782635976).

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

107046323136 is a wasteful number, since it uses less digits than its factorization.

107046323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185844329 (or 185844316 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 107046323136 its reverse (631323640701), we get a palindrome (738369963837).

The spelling of 107046323136 in words is "one hundred seven billion, forty-six million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 185844311 371688622 557532933 743377244 1115065866 1486754488 1672598799 2230131732 2973508976 3345197598 4460263464 5947017952 6690395196 8920526928 11894035904 13380790392 17841053856 26761580784 35682107712 53523161568 107046323136