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9918964836 = 22341125032
BaseRepresentation
bin10010011110011011…
…10110010001100100
3221121021021121210000
421033031312101210
5130303223333321
64320125501300
7500541544554
oct111715662144
927537247700
109918964836
11422aaa7100
121b09a11830
13c20c86b81
146a14ab164
153d0c02826
hex24f376464

9918964836 has 135 divisors (see below), whose sum is σ = 28558492963. Its totient is φ = 2999771280.

The previous prime is 9918964819. The next prime is 9918964903. The reversal of 9918964836 is 6384698199.

It is a happy number.

The square root of 9918964836 is 99594.

It is a perfect power (a square), and thus also a powerful number.

9918964836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 44 ways as a sum of consecutive naturals, for example, 19719361 + ... + 19719863.

Almost surely, 29918964836 is an apocalyptic number.

9918964836 is the 99594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9918964836

9918964836 is an abundant number, since it is smaller than the sum of its proper divisors (18639528127).

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

9918964836 is a wasteful number, since it uses less digits than its factorization.

9918964836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 519 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The cubic root of 9918964836 is about 2148.5994004628.

It can be divided in two parts, 99189 and 64836, that added together give a square (164025 = 4052).

The spelling of 9918964836 in words is "nine billion, nine hundred eighteen million, nine hundred sixty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 503 594 726 891 1006 1089 1188 1452 1509 1782 2012 2178 3018 3267 3564 4356 4527 5533 6036 6534 9054 9801 11066 13068 13581 16599 18108 19602 22132 27162 33198 39204 40743 49797 54324 60863 66396 81486 99594 121726 149391 162972 182589 199188 243452 253009 298782 365178 448173 506018 547767 597564 730356 759027 896346 1012036 1095534 1518054 1643301 1792692 2191068 2277081 2783099 3036108 3286602 4554162 4929903 5566198 6573204 6831243 8349297 9108324 9859806 11132396 13662486 16698594 19719612 20493729 25047891 27324972 30614089 33397188 40987458 50095782 61228178 75143673 81974916 91842267 100191564 122456356 150287346 183684534 225431019 275526801 300574692 367369068 450862038 551053602 826580403 901724076 1102107204 1653160806 2479741209 3306321612 4959482418 9918964836