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2585055312 = 243272564539
BaseRepresentation
bin1001101000010100…
…1101000001010000
320200011020102020100
42122011031001100
520243233232222
61104302412400
7121026415260
oct23205150120
96604212210
102585055312
111107218354
12601891100
1332273c838
141a74717a0
15101e2c4ac
hex9a14d050

2585055312 has 60 divisors (see below), whose sum is σ = 8268076960. Its totient is φ = 738586944.

The previous prime is 2585055287. The next prime is 2585055367. The reversal of 2585055312 is 2135505852.

2585055312 is a `hidden beast` number, since 2 + 58 + 50 + 553 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281262 + ... + 1283277.

Almost surely, 22585055312 is an apocalyptic number.

It is an amenable number.

2585055312 is an abundant number, since it is smaller than the sum of its proper divisors (5683021648).

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

2585055312 is a wasteful number, since it uses less digits than its factorization.

2585055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564560 (or 2564551 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 2585055312 is about 50843.4392227748. The cubic root of 2585055312 is about 1372.4291908088.

The spelling of 2585055312 in words is "two billion, five hundred eighty-five million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2564539 5129078 7693617 10258156 15387234 17951773 20516312 23080851 30774468 35903546 41032624 46161702 53855319 61548936 71807092 92323404 107710638 123097872 143614184 161565957 184646808 215421276 287228368 323131914 369293616 430842552 646263828 861685104 1292527656 2585055312