Search a number
-
+
18275693040 = 2434511256393
BaseRepresentation
bin10001000001010100…
…001111000111110000
31202011122221101210000
4101001110033013300
5244412034134130
612221251310000
71214613553623
oct210124170760
952148841700
1018275693040
117829174750
1236605ab300
13195339a767
14c552b3dba
1571e6b5260
hex44150f1f0

18275693040 has 200 divisors, whose sum is σ = 69244840368. Its totient is φ = 4430453760.

The previous prime is 18275693021. The next prime is 18275693053. The reversal of 18275693040 is 4039657281.

18275693040 is a `hidden beast` number, since 1 + 82 + 7 + 569 + 3 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56917 + ... + 199476.

It is a 1-persistent number, because it is pandigital, but 2⋅18275693040 = 36551386080 is not.

Almost surely, 218275693040 is an apocalyptic number.

18275693040 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 18275693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34622420184).

18275693040 is an abundant number, since it is smaller than the sum of its proper divisors (50969147328).

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

18275693040 is a wasteful number, since it uses less digits than its factorization.

18275693040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256429 (or 256414 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 1827569 and 3040, that added together give a square (1830609 = 13532).

The spelling of 18275693040 in words is "eighteen billion, two hundred seventy-five million, six hundred ninety-three thousand, forty".