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18504999072 = 253376745667
BaseRepresentation
bin10001001110111110…
…111110000010100000
31202202122102100112000
4101032332332002200
5300344234432242
612300122204000
71223366616420
oct211676760240
952678370460
1018504999072
11793665376a
123705353600
13198ba45bc1
14c77924480
157348aca4c
hex44efbe0a0

18504999072 has 192 divisors, whose sum is σ = 62605347840. Its totient is φ = 5208115968.

The previous prime is 18504999053. The next prime is 18504999077. The reversal of 18504999072 is 27099940581.

18504999072 is a `hidden beast` number, since 1 + 85 + 0 + 499 + 9 + 0 + 72 = 666.

It is a super-2 number, since 2×185049990722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18504999077) 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 31 ways as a sum of consecutive naturals, for example, 382383 + ... + 428049.

It is an arithmetic number, because the mean of its divisors is an integer number (326069520).

Almost surely, 218504999072 is an apocalyptic number.

18504999072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18504999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31302673920).

18504999072 is an abundant number, since it is smaller than the sum of its proper divisors (44100348768).

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

18504999072 is a wasteful number, since it uses less digits than its factorization.

18504999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45760 (or 45746 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 18504999072 in words is "eighteen billion, five hundred four million, nine hundred ninety-nine thousand, seventy-two".