Search a number
-
+
18030734280 = 23325137389593
BaseRepresentation
bin10000110010101101…
…110010101111001000
31201112121000012112100
4100302231302233020
5243411331444110
612141101113400
71205550466266
oct206255625710
951477005470
1018030734280
117712974599
1235b2558860
131914701850
14c3094b436
15707e29bc0
hex432b72bc8

18030734280 has 384 divisors, whose sum is σ = 64799935200. Its totient is φ = 4321050624.

The previous prime is 18030734233. The next prime is 18030734303. The reversal of 18030734280 is 8243703081.

18030734280 is a `hidden beast` number, since 1 + 8 + 0 + 307 + 342 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 49533444 + 17981200836 = 7038^2 + 134094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 30405664 + ... + 30406256.

Almost surely, 218030734280 is an apocalyptic number.

18030734280 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 18030734280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32399967600).

18030734280 is an abundant number, since it is smaller than the sum of its proper divisors (46769200920).

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

18030734280 is a wasteful number, since it uses less digits than its factorization.

18030734280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18030734280 in words is "eighteen billion, thirty million, seven hundred thirty-four thousand, two hundred eighty".