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2585385870 = 2354713113997
BaseRepresentation
bin1001101000011001…
…1101101110001110
320200011212012200020
42122012131232032
520243324321440
61104313443010
7121032263064
oct23206355616
96604765606
102585385870
111107423741
12601a10466
13322827132
141a751a034
15101e953d0
hex9a19db8e

2585385870 has 64 divisors (see below), whose sum is σ = 6385775616. Its totient is φ = 669568640.

The previous prime is 2585385853. The next prime is 2585385877. The reversal of 2585385870 is 785835852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585385877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177712 + ... + 191708.

It is an arithmetic number, because the mean of its divisors is an integer number (99777744).

Almost surely, 22585385870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585385870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192887808).

2585385870 is an abundant number, since it is smaller than the sum of its proper divisors (3800389746).

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

2585385870 is a wasteful number, since it uses less digits than its factorization.

2585385870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14185.

The product of its (nonzero) digits is 2688000, while the sum is 51.

The square root of 2585385870 is about 50846.6898627629. The cubic root of 2585385870 is about 1372.4876870571.

The spelling of 2585385870 in words is "two billion, five hundred eighty-five million, three hundred eighty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 131 141 235 262 282 393 470 655 705 786 1310 1410 1965 3930 6157 12314 13997 18471 27994 30785 36942 41991 61570 69985 83982 92355 139970 184710 209955 419910 657859 1315718 1833607 1973577 3289295 3667214 3947154 5500821 6578590 9168035 9867885 11001642 18336070 19735770 27504105 55008210 86179529 172359058 258538587 430897645 517077174 861795290 1292692935 2585385870