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45860206854 = 237112471011901
BaseRepresentation
bin101010101101011110…
…110011100100000110
311101101002001220000210
4222231132303210012
51222410203104404
633022355220250
73212313216660
oct525536634406
9141332056023
1045860206854
11184a3989200
128a7a5a7686
13442b1b4197
1423109cb530
1512d6209689
hexaad7b3906

45860206854 has 192 divisors, whose sum is σ = 118898067456. Its totient is φ = 11536800000.

The previous prime is 45860206853. The next prime is 45860206891.

45860206854 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45860206853) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 24123304 + ... + 24125204.

It is an arithmetic number, because the mean of its divisors is an integer number (619260768).

Almost surely, 245860206854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45860206854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59449033728).

45860206854 is an abundant number, since it is smaller than the sum of its proper divisors (73037860602).

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

45860206854 is a wasteful number, since it uses less digits than its factorization.

45860206854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 45860206854 in words is "forty-five billion, eight hundred sixty million, two hundred six thousand, eight hundred fifty-four".