Search a number
-
+
29632868164 = 22172612832
BaseRepresentation
bin11011100110010000…
…011010111101000100
32211111011110200011201
4123212100122331010
5441142003240124
621340235112244
72066221136434
oct334620327504
984434420151
1029632868164
1111626a88499
1258abba2684
132a432c1123
14161179c2c4
15b867a9144
hex6e641af44

29632868164 has 81 divisors (see below), whose sum is σ = 56688167991. Its totient is φ = 13551018240.

The previous prime is 29632868149. The next prime is 29632868183. The reversal of 29632868164 is 46186823692.

The square root of 29632868164 is 172142.

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 2734244100 + 26898624064 = 52290^2 + 164008^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 357022467 + ... + 357022549.

Almost surely, 229632868164 is an apocalyptic number.

29632868164 is the 172142-nd square number.

It is an amenable number.

29632868164 is a deficient number, since it is larger than the sum of its proper divisors (27055299827).

29632868164 is an equidigital number, since it uses as much as digits as its factorization.

29632868164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 29632868164 in words is "twenty-nine billion, six hundred thirty-two million, eight hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 61 68 83 122 166 244 289 332 578 1037 1156 1411 2074 2822 3721 4148 5063 5644 6889 7442 10126 13778 14884 17629 20252 23987 27556 35258 47974 63257 70516 86071 95948 117113 126514 172142 234226 253028 308843 344284 420229 468452 617686 840458 1075369 1235372 1463207 1680916 1990921 2150738 2926414 3981842 4301476 5250331 5852828 7143893 7963684 10500662 14287786 21001324 25633969 28575572 51267938 89255627 102535876 121446181 178511254 242892362 357022508 435777473 485784724 871554946 1743109892 7408217041 14816434082 29632868164