Search a number
-
+
29145416256 = 2632114599971
BaseRepresentation
bin11011001001001100…
…111100001001000000
32210020012020112212100
4123021030330021000
5434142211310011
621220023230400
72051151644025
oct331114741100
983205215770
1029145416256
11113a6911680
1257948a8400
132996310648
1415a6b5154c
15b58abdd56
hex6c933c240

29145416256 has 84 divisors (see below), whose sum is σ = 91134645264. Its totient is φ = 8831942400.

The previous prime is 29145416197. The next prime is 29145416281. The reversal of 29145416256 is 65261454192.

29145416256 is a `hidden beast` number, since 2 + 9 + 14 + 5 + 4 + 1 + 625 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2293650 + ... + 2306321.

Almost surely, 229145416256 is an apocalyptic number.

It is an amenable number.

29145416256 is an abundant number, since it is smaller than the sum of its proper divisors (61989229008).

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

29145416256 is a wasteful number, since it uses less digits than its factorization.

29145416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600000 (or 4599987 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 29145416256 in words is "twenty-nine billion, one hundred forty-five million, four hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 4599971 9199942 13799913 18399884 27599826 36799768 41399739 50599681 55199652 73599536 82799478 101199362 110399304 147199072 151799043 165598956 202398724 220798608 294398144 303598086 331197912 404797448 441597216 455397129 607196172 662395824 809594896 883194432 910794258 1214392344 1324791648 1619189792 1821588516 2428784688 2649583296 3238379584 3643177032 4857569376 7286354064 9715138752 14572708128 29145416256