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663116013 = 32723736269
BaseRepresentation
bin100111100001100…
…101100011101101
31201012202210011100
4213201211203231
52324224203023
6145444513313
722301251560
oct4741454355
91635683140
10663116013
1131034796a
121660ab839
13a74c6c51
14640d64d7
153d338c43
hex278658ed

663116013 has 48 divisors (see below), whose sum is σ = 1158094080. Its totient is φ = 357426432.

The previous prime is 663115993. The next prime is 663116021. The reversal of 663116013 is 310611366.

It is a happy number.

663116013 is a `hidden beast` number, since 6 + 631 + 16 + 0 + 13 = 666.

It is not a de Polignac number, because 663116013 - 214 = 663099629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663116053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102643 + ... + 108911.

It is an arithmetic number, because the mean of its divisors is an integer number (24126960).

Almost surely, 2663116013 is an apocalyptic number.

663116013 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

663116013 is a deficient number, since it is larger than the sum of its proper divisors (494978067).

663116013 is a wasteful number, since it uses less digits than its factorization.

663116013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 663116013 is about 25751.0390664144. The cubic root of 663116013 is about 872.0268123822.

Adding to 663116013 its reverse (310611366), we get a palindrome (973727379).

The spelling of 663116013 in words is "six hundred sixty-three million, one hundred sixteen thousand, thirteen".

Divisors: 1 3 7 9 21 23 63 69 73 161 207 219 483 511 657 1449 1533 1679 4599 5037 6269 11753 15111 18807 35259 43883 56421 105777 131649 144187 394947 432561 457637 1009309 1297683 1372911 3027927 3203459 4118733 9083781 9610377 10525651 28831131 31576953 73679557 94730859 221038671 663116013