Search a number
-
+
106643453454 = 23250311879923
BaseRepresentation
bin110001101010001110…
…0011111011000001110
3101012021011110202010100
41203110130133120032
53221401211002304
6120554043151530
710463503253316
oct1432434373016
9335234422110
10106643453454
11412554a3aaa
12188028155a6
13a096ca97a5
1452394c8446
152b925c5439
hex18d471f60e

106643453454 has 48 divisors (see below), whose sum is σ = 231738579072. Its totient is φ = 35443685904.

The previous prime is 106643453393. The next prime is 106643453461. The reversal of 106643453454 is 454354346601.

106643453454 is a `hidden beast` number, since 1 + 0 + 6 + 64 + 3 + 4 + 534 + 54 = 666.

It is a super-2 number, since 2×1066434534542 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 10742137 + ... + 10752059.

It is an arithmetic number, because the mean of its divisors is an integer number (4827887064).

Almost surely, 2106643453454 is an apocalyptic number.

106643453454 is an abundant number, since it is smaller than the sum of its proper divisors (125095125618).

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

106643453454 is a wasteful number, since it uses less digits than its factorization.

106643453454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11621 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 106643453454 in words is "one hundred six billion, six hundred forty-three million, four hundred fifty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 503 1006 1187 1509 2374 3018 3561 4527 7122 9054 9923 10683 19846 21366 29769 59538 89307 178614 597061 1194122 1791183 3582366 4991269 5373549 9982538 10747098 11778601 14973807 23557202 29947614 35335803 44921421 70671606 89842842 106007409 212014818 5924636303 11849272606 17773908909 35547817818 53321726727 106643453454