Search a number
-
+
18985770000 = 2432541712409
BaseRepresentation
bin10001101011101000…
…111101110000010000
31211000011002001020200
4101223220331300100
5302340324120000
612415534535200
71241325245061
oct215350756020
954004061220
1018985770000
118062a7700a
12381a367500
131a37527742
14cc1712568
15761bc8500
hex46ba3dc10

18985770000 has 300 divisors, whose sum is σ = 70307291340. Its totient is φ = 4764672000.

The previous prime is 18985769989. The next prime is 18985770019. The reversal of 18985770000 is 7758981.

It can be written as a sum of positive squares in 10 ways, for example, as 16883364096 + 2102405904 = 129936^2 + 45852^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1523796 + ... + 1536204.

Almost surely, 218985770000 is an apocalyptic number.

18985770000 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 18985770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35153645670).

18985770000 is an abundant number, since it is smaller than the sum of its proper divisors (51321521340).

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

18985770000 is a wasteful number, since it uses less digits than its factorization.

18985770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 18985770000 in words is "eighteen billion, nine hundred eighty-five million, seven hundred seventy thousand".