Search a number
-
+
45438222283454 = 272111347179385397
BaseRepresentation
bin10100101010011011010010…
…00110010011001010111110
312221212211222211120200120102
422111031221012103022332
521423424434401032304
6240350010421121102
712366542335542500
oct1225155106231276
9187784884520512
1045438222283454
11135292729a8240
12511a294859192
131c47a62962120
14b31316479d70
1553be44717d1e
hex2953691932be

45438222283454 has 192 divisors, whose sum is σ = 95659606748160. Its totient is φ = 15904337137920.

The previous prime is 45438222283409. The next prime is 45438222283457.

45438222283454 is nontrivially palindromic in base 10.

45438222283454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45438222283454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45438222283457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117707084 + ... + 118092480.

It is an arithmetic number, because the mean of its divisors is an integer number (498227118480).

Almost surely, 245438222283454 is an apocalyptic number.

45438222283454 is an abundant number, since it is smaller than the sum of its proper divisors (50221384464706).

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

45438222283454 is a wasteful number, since it uses less digits than its factorization.

45438222283454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385663 (or 385656 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 56.

The spelling of 45438222283454 in words is "forty-five trillion, four hundred thirty-eight billion, two hundred twenty-two million, two hundred eighty-three thousand, four hundred fifty-four".