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285121825024 = 2823214512
BaseRepresentation
bin1000010011000101001…
…01011100100100000000
31000020221122000102120111
410021202211130210000
514132412141400044
6334552210121104
726412404345041
oct4114245344400
91006848012514
10285121825024
11aaa12923223
1247312880194
1320b6b5c838a
14db2b1908c8
15763b410b34
hex426295c900

285121825024 has 81 divisors (see below), whose sum is σ = 595360841299. Its totient is φ = 136268633600.

The previous prime is 285121825007. The next prime is 285121825033. The reversal of 285121825024 is 420528121582.

The square root of 285121825024 is 533968.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196499499 + ... + 196500949.

Almost surely, 2285121825024 is an apocalyptic number.

285121825024 is the 533968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285121825024

285121825024 is an abundant number, since it is smaller than the sum of its proper divisors (310239016275).

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

285121825024 is an frugal number, since it uses more digits than its factorization.

285121825024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The spelling of 285121825024 in words is "two hundred eighty-five billion, one hundred twenty-one million, eight hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1451 1472 2116 2902 2944 4232 5804 5888 8464 11608 16928 23216 33373 33856 46432 66746 67712 92864 133492 135424 185728 266984 371456 533968 767579 1067936 1535158 2105401 2135872 3070316 4210802 4271744 6140632 8421604 8543488 12281264 16843208 24562528 33686416 48424223 49125056 67372832 96848446 98250112 134745664 193696892 196500224 269491328 387393784 538982656 774787568 1113757129 1549575136 2227514258 3099150272 4455028516 6198300544 8910057032 12396601088 17820114064 35640228128 71280456256 142560912512 285121825024