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10209646816 = 254147165569
BaseRepresentation
bin10011000001000101…
…01101100011100000
3222100112020210111021
421200202231203200
5131402132144231
64405032055224
7511001365105
oct114042554340
928315223437
1010209646816
11436a096846
121b8b234514
13c69271645
146cbd36aac
153eb4c0811
hex2608ad8e0

10209646816 has 48 divisors (see below), whose sum is σ = 21028714560. Its totient is φ = 4874321920.

The previous prime is 10209646787. The next prime is 10209646829. The reversal of 10209646816 is 61864690201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21121 + ... + 144448.

It is an arithmetic number, because the mean of its divisors is an integer number (438098220).

Almost surely, 210209646816 is an apocalyptic number.

10209646816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10209646816 is an abundant number, since it is smaller than the sum of its proper divisors (10819067744).

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

10209646816 is a wasteful number, since it uses less digits than its factorization.

10209646816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165667 (or 165659 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 10209646816 in words is "ten billion, two hundred nine million, six hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 47 82 94 164 188 328 376 656 752 1312 1504 1927 3854 7708 15416 30832 61664 165569 331138 662276 1324552 2649104 5298208 6788329 7781743 13576658 15563486 27153316 31126972 54306632 62253944 108613264 124507888 217226528 249015776 319051463 638102926 1276205852 2552411704 5104823408 10209646816