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2385685638 = 2327219294909
BaseRepresentation
bin1000111000110010…
…1010110010000110
320011021002101110100
42032030222302012
514341213420023
61032421304530
7113055664500
oct21614526206
96137071410
102385685638
111014725a26
12566b65146
132c034640b
14188bb4d70
15de699c43
hex8e32ac86

2385685638 has 144 divisors (see below), whose sum is σ = 6548958000. Its totient is φ = 623355264.

The previous prime is 2385685613. The next prime is 2385685639. The reversal of 2385685638 is 8365865832.

2385685638 is a `hidden beast` number, since 23 + 8 + 56 + 8 + 563 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385685639) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 483528 + ... + 488436.

It is an arithmetic number, because the mean of its divisors is an integer number (45478875).

Almost surely, 22385685638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385685638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274479000).

2385685638 is an abundant number, since it is smaller than the sum of its proper divisors (4163272362).

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

2385685638 is a wasteful number, since it uses less digits than its factorization.

2385685638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4969 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2385685638 is about 48843.4810184532. The cubic root of 2385685638 is about 1336.1987834990.

The spelling of 2385685638 in words is "two billion, three hundred eighty-five million, six hundred eighty-five thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 49 57 58 63 87 98 114 126 133 147 171 174 203 261 266 294 342 399 406 441 522 551 609 798 882 931 1102 1197 1218 1421 1653 1827 1862 2394 2793 2842 3306 3654 3857 4263 4909 4959 5586 7714 8379 8526 9818 9918 11571 12789 14727 16758 23142 25578 26999 29454 34363 34713 44181 53998 68726 69426 80997 88362 93271 103089 142361 161994 186542 206178 240541 242991 279813 284722 309267 427083 481082 485982 559626 618534 652897 721623 839439 854166 996527 1281249 1305794 1443246 1678878 1958691 1993054 2164869 2562498 2704859 2989581 3917382 4329738 4570279 5409718 5876073 5979162 6975689 8114577 8968743 9140558 11752146 13710837 13951378 16229154 17937486 18934013 20927067 24343731 27421674 37868026 41132511 41854134 48687462 56802039 62781201 82265022 113604078 125562402 132538091 170406117 265076182 340812234 397614273 795228546 1192842819 2385685638