Search a number
-
+
17859382321 = 112121492
BaseRepresentation
bin10000101000100000…
…001000110000110001
31201002122120121211111
4100220200020300301
5243034000213241
612112100313321
71201400150014
oct205040106061
951078517744
1017859382321
117635179300
1235650a2841
1318b8068061
14c15ca537b
156e7d7dc81
hex428808c31

17859382321 has 9 divisors (see below), whose sum is σ = 19632176683. Its totient is φ = 16234465720.

The previous prime is 17859382319. The next prime is 17859382337. The reversal of 17859382321 is 12328395871.

The square root of 17859382321 is 133639.

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

It can be written as a sum of positive squares in only one way, i.e., 17572418721 + 286963600 = 132561^2 + 16940^2 .

It is not a de Polignac number, because 17859382321 - 21 = 17859382319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17859382921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1463955 + ... + 1476103.

Almost surely, 217859382321 is an apocalyptic number.

17859382321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

17859382321 is the 133639-th square number.

17859382321 is the 66820-th centered octagonal number.

It is an amenable number.

17859382321 is a deficient number, since it is larger than the sum of its proper divisors (1772794362).

17859382321 is an frugal number, since it uses more digits than its factorization.

17859382321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24320 (or 12160 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

Multiplying 17859382321 by its sum of digits (49), we get a square (875109733729 = 9354732).

The spelling of 17859382321 in words is "seventeen billion, eight hundred fifty-nine million, three hundred eighty-two thousand, three hundred twenty-one".

Divisors: 1 11 121 12149 133639 1470029 147598201 1623580211 17859382321