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2065112352 = 253253193701
BaseRepresentation
bin111101100010111…
…0001110100100000
312022220212120120200
41323011301310200
513212132043402
6540530305200
7102114110502
oct17305616440
95286776520
102065112352
1196a77a526
12497728200
1326bac4294
141583a7d72
15c147521c
hex7b171d20

2065112352 has 144 divisors (see below), whose sum is σ = 6023050488. Its totient is φ = 670924800.

The previous prime is 2065112347. The next prime is 2065112407. The reversal of 2065112352 is 2532115602.

It is a happy number.

2065112352 is a `hidden beast` number, since 2 + 0 + 651 + 1 + 2 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1974558096 + 90554256 = 44436^2 + 9516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2945602 + ... + 2946302.

Almost surely, 22065112352 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 2065112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011525244).

2065112352 is an abundant number, since it is smaller than the sum of its proper divisors (3957938136).

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

2065112352 is a wasteful number, since it uses less digits than its factorization.

2065112352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2065112352 is about 45443.5072590134. The cubic root of 2065112352 is about 1273.4480364738.

Adding to 2065112352 its reverse (2532115602), we get a palindrome (4597227954).

The spelling of 2065112352 in words is "two billion, sixty-five million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 193 212 288 318 386 424 477 579 636 701 772 848 954 1158 1272 1402 1544 1696 1737 1908 2103 2316 2544 2804 3088 3474 3816 4206 4632 5088 5608 6176 6309 6948 7632 8412 9264 10229 11216 12618 13896 15264 16824 18528 20458 22432 25236 27792 30687 33648 37153 40916 50472 55584 61374 67296 74306 81832 92061 100944 111459 122748 135293 148612 163664 184122 201888 222918 245496 270586 297224 327328 334377 368244 405879 445836 490992 541172 594448 668754 736488 811758 891672 981984 1082344 1188896 1217637 1337508 1472976 1623516 1783344 2164688 2435274 2675016 2945952 3247032 3566688 4329376 4870548 5350032 6494064 7170529 9741096 10700064 12988128 14341058 19482192 21511587 28682116 38964384 43023174 57364232 64534761 86046348 114728464 129069522 172092696 229456928 258139044 344185392 516278088 688370784 1032556176 2065112352