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5536032426 = 2332337532273
BaseRepresentation
bin1010010011111100…
…10010011010101010
3112021211000120211000
411021332102122222
542314211014201
62313200215430
7254121333141
oct51176223252
915254016730
105536032426
112390a45111
1210a600a576
136a2c1b642
143a7356758
1522603ad86
hex149f926aa

5536032426 has 128 divisors (see below), whose sum is σ = 13438794240. Its totient is φ = 1684260864.

The previous prime is 5536032409. The next prime is 5536032431. The reversal of 5536032426 is 6242306355.

5536032426 is a `hidden beast` number, since 5 + 5 + 3 + 603 + 2 + 42 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2434426 + ... + 2436698.

It is an arithmetic number, because the mean of its divisors is an integer number (104990580).

Almost surely, 25536032426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536032426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719397120).

5536032426 is an abundant number, since it is smaller than the sum of its proper divisors (7902761814).

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

5536032426 is a wasteful number, since it uses less digits than its factorization.

5536032426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5536032426 is about 74404.5188547040. The cubic root of 5536032426 is about 1769.0205382463.

The spelling of 5536032426 in words is "five billion, five hundred thirty-six million, thirty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 37 46 53 54 69 74 106 111 138 159 207 222 318 333 414 477 621 666 851 954 999 1219 1242 1431 1702 1961 1998 2273 2438 2553 2862 3657 3922 4546 5106 5883 6819 7314 7659 10971 11766 13638 15318 17649 20457 21942 22977 32913 35298 40914 45103 45954 52279 52947 61371 65826 84101 90206 104558 105894 120469 122742 135309 156837 168202 240938 252303 270618 313674 361407 405927 470511 504606 722814 756909 811854 941022 1084221 1217781 1411533 1513818 1934323 2168442 2270727 2435562 2770787 2823066 3252663 3868646 4457353 4541454 5541574 5802969 6505326 8312361 8914706 11605938 13372059 16624722 17408907 24937083 26744118 34817814 40116177 49874166 52226721 74811249 80232354 102519119 104453442 120348531 149622498 205038238 240697062 307557357 615114714 922672071 1845344142 2768016213 5536032426