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5641552422 = 233113129883
BaseRepresentation
bin1010100000100001…
…10100001000100110
3112120011120120001000
411100100310020212
543023214134142
62331450014130
7256542255462
oct52020641046
915504516030
105641552422
112435566920
121115417346
136bba457cc
143b73834a2
1523043114c
hex150434226

5641552422 has 96 divisors (see below), whose sum is σ = 14133329280. Its totient is φ = 1654246800.

The previous prime is 5641552403. The next prime is 5641552429. The reversal of 5641552422 is 2242551465.

5641552422 is a `hidden beast` number, since 5 + 64 + 1 + 552 + 42 + 2 = 666.

It is a super-3 number, since 3×56415524223 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641552429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565893 + ... + 575775.

It is an arithmetic number, because the mean of its divisors is an integer number (147222180).

Almost surely, 25641552422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641552422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066664640).

5641552422 is an abundant number, since it is smaller than the sum of its proper divisors (8491776858).

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

5641552422 is a wasteful number, since it uses less digits than its factorization.

5641552422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9930 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 5641552422 is about 75110.2684191716. The cubic root of 5641552422 is about 1780.1893942733.

The spelling of 5641552422 in words is "five billion, six hundred forty-one million, five hundred fifty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 961 1023 1674 1922 2046 2883 3069 5766 6138 8649 9207 9883 10571 17298 18414 19766 21142 25947 29649 31713 51894 59298 63426 88947 95139 108713 177894 190278 217426 266841 285417 306373 326139 533682 570834 612746 652278 919119 978417 1838238 1956834 2757357 2935251 3370103 5514714 5870502 6740206 8272071 9497563 10110309 16544142 18995126 20220618 28492689 30330927 56985378 60661854 85478067 90992781 104473193 170956134 181985562 208946386 256434201 313419579 512868402 626839158 940258737 1880517474 2820776211 5641552422