Search a number
-
+
18383545473024 = 2113193137251547
BaseRepresentation
bin1000010111000010000001…
…01100101001100000000000
32102002110010220002110002110
410023201000230221200000
54402144000120114044
6103033141215415320
73605111252161644
oct413410054514000
972073126073073
1018383545473024
115948466185a26
12208aa30224540
13a3473a3b1404
14477aa84c2c24
1521d2e8e266b9
hex10b840b29800

18383545473024 has 768 divisors, whose sum is σ = 55012143513600. Its totient is φ = 5434490880000.

The previous prime is 18383545473023. The next prime is 18383545473037. The reversal of 18383545473024 is 42037454538381.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18383545473023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33607943919 + ... + 33607944465.

It is an arithmetic number, because the mean of its divisors is an integer number (71630395200).

Almost surely, 218383545473024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18383545473024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506071756800).

18383545473024 is an abundant number, since it is smaller than the sum of its proper divisors (36628598040576).

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

18383545473024 is a wasteful number, since it uses less digits than its factorization.

18383545473024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 18383545473024 in words is "eighteen trillion, three hundred eighty-three billion, five hundred forty-five million, four hundred seventy-three thousand, twenty-four".