Search a number
-
+
16590954768 = 2431997872207
BaseRepresentation
bin11110111001110010…
…11110000100010000
31120211020210211100020
433130321132010100
5232434241023033
611342145423440
71125065534343
oct173471360420
946736724306
1016590954768
117044185973
12327033ab80
1317453359cb
14b3564245a
156718286b3
hex3dce5e110

16590954768 has 80 divisors (see below), whose sum is σ = 43149619200. Its totient is φ = 5493045888.

The previous prime is 16590954763. The next prime is 16590954773. The reversal of 16590954768 is 86745909561.

16590954768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16590954763) and next prime (16590954773).

It is a super-2 number, since 2×165909547682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16590954761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7516321 + ... + 7518527.

It is an arithmetic number, because the mean of its divisors is an integer number (539370240).

Almost surely, 216590954768 is an apocalyptic number.

It is an amenable number.

16590954768 is an abundant number, since it is smaller than the sum of its proper divisors (26558664432).

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

16590954768 is a wasteful number, since it uses less digits than its factorization.

16590954768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 16590954768 in words is "sixteen billion, five hundred ninety million, nine hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 199 398 597 787 796 1194 1574 1592 2207 2361 2388 3148 3184 4414 4722 4776 6296 6621 8828 9444 9552 12592 13242 17656 18888 26484 35312 37776 52968 105936 156613 313226 439193 469839 626452 878386 939678 1252904 1317579 1736909 1756772 1879356 2505808 2635158 3473818 3513544 3758712 5210727 5270316 6947636 7027088 7517424 10421454 10540632 13895272 20842908 21081264 27790544 41685816 83371632 345644891 691289782 1036934673 1382579564 2073869346 2765159128 4147738692 5530318256 8295477384 16590954768