Search a number
-
+
10638432807 = 337136770111
BaseRepresentation
bin10011110100001100…
…11001101000100111
31000110102002101021220
421322012121220213
5133241414322212
64515350311423
7524426121042
oct117206315047
930412071256
1010638432807
11456a133032
12208a958573
131007051472
1472cc71c59
15423e6d38c
hex27a199a27

10638432807 has 16 divisors (see below), whose sum is σ = 14578808832. Its totient is φ = 6895458720.

The previous prime is 10638432797. The next prime is 10638432859. The reversal of 10638432807 is 70823483601.

10638432807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10638432807 - 26 = 10638432743 is a prime.

It is a super-2 number, since 2×106384328072 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638433807) 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 15 ways as a sum of consecutive naturals, for example, 116682 + ... + 186792.

It is an arithmetic number, because the mean of its divisors is an integer number (911175552).

Almost surely, 210638432807 is an apocalyptic number.

10638432807 is a deficient number, since it is larger than the sum of its proper divisors (3940376025).

10638432807 is a wasteful number, since it uses less digits than its factorization.

10638432807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71518.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 10638432807 in words is "ten billion, six hundred thirty-eight million, four hundred thirty-two thousand, eight hundred seven".

Divisors: 1 3 37 111 1367 4101 50579 70111 151737 210333 2594107 7782321 95841737 287525211 3546144269 10638432807