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16395265936 = 24721722692
BaseRepresentation
bin11110100010011101…
…11110011110010000
31120022121120210201201
433101032332132100
5232034142002221
611310515240544
71120201314100
oct172116763620
946277523651
1016395265936
116a53777a65
1232168a9154
13171392aaba
14b17663200
1565e571891
hex3d13be790

16395265936 has 135 divisors (see below), whose sum is σ = 39400065939. Its totient is φ = 6588632064.

The previous prime is 16395265933. The next prime is 16395265949. The reversal of 16395265936 is 63956259361.

The square root of 16395265936 is 128044.

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

It can be written as a sum of positive squares in 4 ways, for example, as 856147600 + 15539118336 = 29260^2 + 124656^2 .

It is a super-2 number, since 2×163952659362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16395265933) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 60948810 + ... + 60949078.

Almost surely, 216395265936 is an apocalyptic number.

16395265936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16395265936 is the 128044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16395265936

16395265936 is an abundant number, since it is smaller than the sum of its proper divisors (23004800003).

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

16395265936 is an equidigital number, since it uses as much as digits as its factorization.

16395265936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 295 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 55.

The spelling of 16395265936 in words is "sixteen billion, three hundred ninety-five million, two hundred sixty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 269 272 289 392 476 538 578 784 833 952 1076 1156 1666 1883 1904 2023 2152 2312 3332 3766 4046 4304 4573 4624 6664 7532 8092 9146 13181 13328 14161 15064 16184 18292 26362 28322 30128 32011 32368 36584 52724 56644 64022 72361 73168 77741 105448 113288 128044 144722 155482 210896 224077 226576 256088 289444 310964 448154 506527 512176 544187 578888 621928 896308 1013054 1088374 1157776 1230137 1243856 1792616 2026108 2176748 2460274 3545689 3585232 3809309 4052216 4353496 4920548 7091378 7618618 8104432 8610959 8706992 9841096 14182756 15237236 17221918 19682192 20912329 28365512 30474472 34443836 41824658 56731024 60276713 60948944 68887672 83649316 120553426 137775344 146386303 167298632 241106852 292772606 334597264 482213704 585545212 964427408 1024704121 1171090424 2049408242 2342180848 4098816484 8197632968 16395265936