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5163052356 = 22327113160083
BaseRepresentation
bin1001100111011110…
…11110110101000100
3111022211012020100100
410303233132311010
541033220133411
62212154044100
7241642135530
oct46357366504
914284166310
105163052356
11220a454720
121001119630
1364387a787
1436d9c6bc0
15203413456
hex133bded44

5163052356 has 144 divisors (see below), whose sum is σ = 16796602368. Its totient is φ = 1297771200.

The previous prime is 5163052291. The next prime is 5163052369. The reversal of 5163052356 is 6532503615.

5163052356 is a `hidden beast` number, since 51 + 6 + 30 + 523 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5163052356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55891 + ... + 115973.

It is an arithmetic number, because the mean of its divisors is an integer number (116643072).

Almost surely, 25163052356 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 5163052356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398301184).

5163052356 is an abundant number, since it is smaller than the sum of its proper divisors (11633550012).

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

5163052356 is a wasteful number, since it uses less digits than its factorization.

5163052356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60142 (or 60137 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5163052356 is about 71854.3829978381. The cubic root of 5163052356 is about 1728.3651853249.

The spelling of 5163052356 in words is "five billion, one hundred sixty-three million, fifty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 42966 60083 85932 120166 180249 240332 360498 420581 540747 660913 720996 841162 1081494 1261743 1321826 1682324 1862573 1982739 2162988 2523486 2643652 3725146 3785229 3965478 4626391 5046972 5587719 5948217 7450292 7570458 7930956 9252782 11175438 11896434 13038011 13879173 15140916 16763157 18505564 20488303 22350876 23792868 26076022 27758346 33526314 39114033 40976606 41637519 52152044 55516692 61464909 67052628 78228066 81953212 83275038 117342099 122929818 143418121 156456132 166550076 184394727 234684198 245859636 286836242 368789454 430254363 469368396 573672484 737578908 860508726 1290763089 1721017452 2581526178 5163052356