Search a number
-
+
16771657513 = 132172343393
BaseRepresentation
bin11111001111010101…
…10010111100101001
31121021211211110220111
433213222302330221
5233322021020023
611412122454321
71132421510452
oct174752627451
947254743814
1016771657513
117127188586
1233009643a1
1317738c4700
14b51640129
1568262000d
hex3e7ab2f29

16771657513 has 18 divisors (see below), whose sum is σ = 19292218314. Its totient is φ = 14570809344.

The previous prime is 16771657501. The next prime is 16771657537. The reversal of 16771657513 is 31575617761.

It can be written as a sum of positive squares in 9 ways, for example, as 1977314089 + 14794343424 = 44467^2 + 121632^2 .

It is a de Polignac number, because none of the positive numbers 2k-16771657513 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16771657583) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122856 + ... + 220537.

Almost surely, 216771657513 is an apocalyptic number.

16771657513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16771657513 is a deficient number, since it is larger than the sum of its proper divisors (2520560801).

16771657513 is a wasteful number, since it uses less digits than its factorization.

16771657513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343453 (or 343423 counting only the distinct ones).

The product of its digits is 926100, while the sum is 49.

The spelling of 16771657513 in words is "sixteen billion, seven hundred seventy-one million, six hundred fifty-seven thousand, five hundred thirteen".

Divisors: 1 13 17 169 221 289 2873 3757 48841 343393 4464109 5837681 58033417 75889853 99240577 986568089 1290127501 16771657513