Search a number
-
+
1819066368 = 2143717311
BaseRepresentation
bin110110001101100…
…1100000000000000
311200202220010221110
41230123030000000
512211140110433
6500300523320
763035544330
oct15433140000
94622803843
101819066368
118538a7539
12429250540
1322cb37542
1413383b0c0
15a9a72963
hex6c6cc000

1819066368 has 240 divisors, whose sum is σ = 5888623104. Its totient is φ = 487587840.

The previous prime is 1819066279. The next prime is 1819066369. The reversal of 1819066368 is 8636609181.

It is a super-2 number, since 2×18190663682 = 6618004902377422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1819066369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5848933 + ... + 5849243.

Almost surely, 21819066368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1819066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944311552).

1819066368 is an abundant number, since it is smaller than the sum of its proper divisors (4069556736).

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

1819066368 is an equidigital number, since it uses as much as digits as its factorization.

1819066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1819066368 is about 42650.5142759147. The cubic root of 1819066368 is about 1220.7203414141.

The spelling of 1819066368 in words is "one billion, eight hundred nineteen million, sixty-six thousand, three hundred sixty-eight".