Search a number
-
+
18073457640 = 2333574158309
BaseRepresentation
bin10000110101010000…
…110001001111101000
31201122120101202222000
4100311100301033220
5244003301121030
612145224531000
71206606566220
oct206520611750
951576352860
1018073457640
117734aa5257
123604920a60
13192050cb44
14c364ad080
1570ba68860
hex4354313e8

18073457640 has 256 divisors, whose sum is σ = 70531776000. Its totient is φ = 4030248960.

The previous prime is 18073457629. The next prime is 18073457641. The reversal of 18073457640 is 4675437081.

18073457640 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 34 + 576 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18073457641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280806 + ... + 339114.

It is an arithmetic number, because the mean of its divisors is an integer number (275514750).

Almost surely, 218073457640 is an apocalyptic number.

18073457640 is a gapful number since it is divisible by the number (10) 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 18073457640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35265888000).

18073457640 is an abundant number, since it is smaller than the sum of its proper divisors (52458318360).

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

18073457640 is a wasteful number, since it uses less digits than its factorization.

18073457640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58377 (or 58367 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 18073457640 in words is "eighteen billion, seventy-three million, four hundred fifty-seven thousand, six hundred forty".