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9995566050 = 2345215712
BaseRepresentation
bin10010100111100100…
…00011101111100010
3221210121102100220000
421103302003233202
5130432331103200
64331503400430
7502461623661
oct112362035742
927717370800
109995566050
11426a266798
121b2b5b3116
13c33ac7232
146ab72add8
153d77d4300
hex253c83be2

9995566050 has 90 divisors (see below), whose sum is σ = 27790555089. Its totient is φ = 2663787600.

The previous prime is 9995566043. The next prime is 9995566073. The reversal of 9995566050 is 506655999.

9995566050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9795654729 + 199911321 = 98973^2 + 14139^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70695.

It is a super-2 number, since 2×99955660502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6361765 + ... + 6363335.

Almost surely, 29995566050 is an apocalyptic number.

9995566050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995566050

9995566050 is an abundant number, since it is smaller than the sum of its proper divisors (17794989039).

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

9995566050 is an equidigital number, since it uses as much as digits as its factorization.

9995566050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The square root of 9995566050 is about 99977.8277919660. The cubic root of 9995566050 is about 2154.1162211016.

The spelling of 9995566050 in words is "nine billion, nine hundred ninety-five million, five hundred sixty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 1571 2025 3142 4050 4713 7855 9426 14139 15710 23565 28278 39275 42417 47130 70695 78550 84834 117825 127251 141390 212085 235650 254502 353475 424170 636255 706950 1060425 1272510 2120850 2468041 3181275 4936082 6362550 7404123 12340205 14808246 22212369 24680410 37020615 44424738 61701025 66637107 74041230 111061845 123402050 133274214 185103075 199911321 222123690 333185535 370206150 399822642 555309225 666371070 999556605 1110618450 1665927675 1999113210 3331855350 4997783025 9995566050