Search a number
-
+
1816049664 = 211321113253
BaseRepresentation
bin110110000111110…
…1011100000000000
311200120012212210200
41230033223200000
512204402042124
6500112125200
763001111302
oct15417534000
94616185720
101816049664
11852126aa0
12428236800
1322c31c400
14133293972
15a9678bc9
hex6c3eb800

1816049664 has 432 divisors, whose sum is σ = 6312819240. Its totient is φ = 498401280.

The previous prime is 1816049579. The next prime is 1816049693. The reversal of 1816049664 is 4669406181.

It is a super-2 number, since 2×18160496642 = 6596072764229025792, which contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 34265062 + ... + 34265114.

Almost surely, 21816049664 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 1816049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156409620).

1816049664 is an abundant number, since it is smaller than the sum of its proper divisors (4496769576).

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

1816049664 is a wasteful number, since it uses less digits than its factorization.

1816049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1816049664 is about 42615.1342130938. The cubic root of 1816049664 is about 1220.0451618147.

The spelling of 1816049664 in words is "one billion, eight hundred sixteen million, forty-nine thousand, six hundred sixty-four".