Search a number
-
+
285743145996 = 2232711103081943
BaseRepresentation
bin1000010100001111001…
…11100110010000001100
31000022112221010210201100
410022013213212100030
514140200221132441
6335134003143100
726433660444330
oct4120747462014
91008487123640
10285743145996
11100201613930
1247466974a90
1320c3a24a719
14db898c77c0
157675c40cb6
hex42879e640c

285743145996 has 72 divisors (see below), whose sum is σ = 900523862784. Its totient is φ = 74218998240.

The previous prime is 285743145949. The next prime is 285743146019. The reversal of 285743145996 is 699541347582.

285743145996 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 4 + 31 + 4 + 599 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51538200 + ... + 51543743.

It is an arithmetic number, because the mean of its divisors is an integer number (12507275872).

Almost surely, 2285743145996 is an apocalyptic number.

It is an amenable number.

285743145996 is an abundant number, since it is smaller than the sum of its proper divisors (614780716788).

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

285743145996 is a wasteful number, since it uses less digits than its factorization.

285743145996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103081971 (or 103081966 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 285743145996 in words is "two hundred eighty-five billion, seven hundred forty-three million, one hundred forty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 103081943 206163886 309245829 412327772 618491658 721573601 927737487 1133901373 1236983316 1443147202 1855474974 2164720803 2267802746 2886294404 3401704119 3710949948 4329441606 4535605492 6494162409 6803408238 7937309611 8658883212 10205112357 12988324818 13606816476 15874619222 20410224714 23811928833 25976649636 31749238444 40820449428 47623857666 71435786499 95247715332 142871572998 285743145996