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17140831929 = 361323732
BaseRepresentation
bin11111111011010110…
…00101011010111001
31122020120111111000000
433331223011122321
5240101023110204
611512511303213
71144523444634
oct177553053271
948216444000
1017140831929
1172a6609801
1233a451ab09
131802232300
14b8869cc1b
156a4c45039
hex3fdac56b9

17140831929 has 63 divisors (see below), whose sum is σ = 27903250557. Its totient is φ = 10519924896.

The previous prime is 17140831847. The next prime is 17140831933. The reversal of 17140831929 is 92913804171.

The square root of 17140831929 is 130923.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1982297529 + 15158534400 = 44523^2 + 123120^2 .

It is a de Polignac number, because none of the positive numbers 2k-17140831929 is a prime.

It is a super-2 number, since 2×171408319292 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17140831129) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 45953787 + ... + 45954159.

It is an arithmetic number, because the mean of its divisors is an integer number (442908739).

Almost surely, 217140831929 is an apocalyptic number.

17140831929 is the 130923-rd square number.

17140831929 is the 65462-nd centered octagonal number.

It is an amenable number.

17140831929 is a deficient number, since it is larger than the sum of its proper divisors (10762418628).

17140831929 is an frugal number, since it uses more digits than its factorization.

17140831929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 171 and 40831929, that added together give a square (40832100 = 63902).

The spelling of 17140831929 in words is "seventeen billion, one hundred forty million, eight hundred thirty-one thousand, nine hundred twenty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 373 507 729 1053 1119 1521 3159 3357 4563 4849 9477 10071 13689 14547 30213 41067 43641 63037 90639 123201 130923 139129 189111 271917 392769 417387 567333 1178307 1252161 1701999 1808677 3534921 3756483 5105997 5426031 11269449 15317991 16278093 23512801 33808347 45953973 48834279 70538403 101425041 146502837 211615209 439508511 634845627 1318525533 1904536881 5713610643 17140831929