Search a number
-
+
18780023808 = 210327313457
BaseRepresentation
bin10001011111011000…
…000110110000000000
31210110210221001112100
4101133120012300000
5301430141230213
612343305030400
71233246366000
oct213730066000
953423831470
1018780023808
117a67919937
123781485400
131a03a0ab30
14ca2276000
1574dad6773
hex45f606c00

18780023808 has 528 divisors, whose sum is σ = 68251892800. Its totient is φ = 4942135296.

The previous prime is 18780023797. The next prime is 18780023819. The reversal of 18780023808 is 80832008781.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18780023797) and next prime (18780023819).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41093916 + ... + 41094372.

Almost surely, 218780023808 is an apocalyptic number.

18780023808 is a gapful number since it is divisible by the number (18) 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 18780023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34125946400).

18780023808 is an abundant number, since it is smaller than the sum of its proper divisors (49471868992).

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

18780023808 is a wasteful number, since it uses less digits than its factorization.

18780023808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 18780023808 in words is "eighteen billion, seven hundred eighty million, twenty-three thousand, eight hundred eight".