Search a number
-
+
14980082832 = 24321113727471
BaseRepresentation
bin11011111001110000…
…11110110010010000
31102122222200001110200
431330320132302100
5221134400122312
610514243055200
71040135413611
oct157470366220
942588601420
1014980082832
116397958a50
122aa0971500
131549694550
14a2171bc08
155ca1cd0dc
hex37ce1ec90

14980082832 has 120 divisors (see below), whose sum is σ = 49252764288. Its totient is φ = 4190227200.

The previous prime is 14980082801. The next prime is 14980082837. The reversal of 14980082832 is 23828008941.

14980082832 is a `hidden beast` number, since 1 + 498 + 0 + 0 + 82 + 83 + 2 = 666.

It is a super-2 number, since 2×149800828322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14980082837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343144 + ... + 384327.

Almost surely, 214980082832 is an apocalyptic number.

14980082832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14980082832 is an abundant number, since it is smaller than the sum of its proper divisors (34272681456).

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

14980082832 is a wasteful number, since it uses less digits than its factorization.

14980082832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727509 (or 727500 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14980082832 in words is "fourteen billion, nine hundred eighty million, eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 727471 1454942 2182413 2909884 4364826 5819768 6547239 8002181 8729652 9457123 11639536 13094478 16004362 17459304 18914246 24006543 26188956 28371369 32008724 34918608 37828492 48013086 52377912 56742738 64017448 72019629 75656984 85114107 96026172 104028353 104755824 113485476 128034896 144039258 151313968 170228214 192052344 208056706 226970952 288078516 312085059 340456428 384104688 416113412 453941904 576157032 624170118 680912856 832226824 936255177 1152314064 1248340236 1361825712 1664453648 1872510354 2496680472 3745020708 4993360944 7490041416 14980082832