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1713137412 = 2237215231913
BaseRepresentation
bin110011000011100…
…0110011100000100
311102101120101201210
41212013012130010
512002030344122
6441554251420
760311266500
oct14607063404
94371511653
101713137412
117aa026548
123b9886b70
13213bc919c
14123745300
15a05eb40c
hex661c6704

1713137412 has 72 divisors (see below), whose sum is σ = 4655429856. Its totient is φ = 488890752.

The previous prime is 1713137411. The next prime is 1713137441. The reversal of 1713137412 is 2147313171.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1713137412.

It is not an unprimeable number, because it can be changed into a prime (1713137411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 894568 + ... + 896480.

It is an arithmetic number, because the mean of its divisors is an integer number (64658748).

Almost surely, 21713137412 is an apocalyptic number.

1713137412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713137412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327714928).

1713137412 is an abundant number, since it is smaller than the sum of its proper divisors (2942292444).

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

1713137412 is a wasteful number, since it uses less digits than its factorization.

1713137412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3448 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 1713137412 is about 41390.0641700396. The cubic root of 1713137412 is about 1196.5496750004.

The spelling of 1713137412 in words is "one billion, seven hundred thirteen million, one hundred thirty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1523 1913 3046 3826 4569 5739 6092 7652 9138 10661 11478 13391 18276 21322 22956 26782 31983 40173 42644 53564 63966 74627 80346 93737 127932 149254 160692 187474 223881 281211 298508 374948 447762 562422 895524 1124844 2913499 5826998 8740497 11653996 17480994 20394493 34961988 40788986 61183479 81577972 122366958 142761451 244733916 285522902 428284353 571045804 856568706 1713137412