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2585897964 = 2232136782469
BaseRepresentation
bin1001101000100001…
…1010101111101100
320200012211020010200
42122020122233230
520243442213324
61104332433500
7121036525056
oct23210325754
96605736120
102585897964
111107743461
12602018890
13322976250
141a76108d6
15102046ec9
hex9a21abec

2585897964 has 72 divisors (see below), whose sum is σ = 7144541040. Its totient is φ = 783775872.

The previous prime is 2585897957. The next prime is 2585897969. The reversal of 2585897964 is 4697985852.

2585897964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2585897969) 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, 9879 + ... + 72590.

Almost surely, 22585897964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585897964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572270520).

2585897964 is an abundant number, since it is smaller than the sum of its proper divisors (4558643076).

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

2585897964 is a wasteful number, since it uses less digits than its factorization.

2585897964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82559 (or 82554 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 2585897964 is about 50851.7252804661. The cubic root of 2585897964 is about 1372.5782984585.

The spelling of 2585897964 in words is "two billion, five hundred eighty-five million, eight hundred ninety-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 7839 10452 15678 31356 82469 164938 247407 329876 494814 742221 989628 1072097 1484442 2144194 2968884 3216291 4288388 5525423 6432582 9648873 11050846 12865164 16576269 19297746 22101692 33152538 38595492 49728807 66305076 71830499 99457614 143660998 198915228 215491497 287321996 430982994 646474491 861965988 1292948982 2585897964