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10528084368 = 2432292521093
BaseRepresentation
bin10011100111000010…
…11101000110010000
31000011201110002200200
421303201131012100
5133030142144433
64500405215200
7521616145344
oct116341350620
930151402620
1010528084368
11451291367a
122059a01500
13cba226629
1471c349624
15419422613
hex27385d190

10528084368 has 60 divisors (see below), whose sum is σ = 30480026460. Its totient is φ = 3388347648.

The previous prime is 10528084361. The next prime is 10528084403. The reversal of 10528084368 is 86348082501.

10528084368 is a `hidden beast` number, since 1 + 0 + 5 + 280 + 8 + 4 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4263045264 + 6265039104 = 65292^2 + 79152^2 .

It is a super-2 number, since 2×105280843682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10528084361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1256371 + ... + 1264722.

It is an arithmetic number, because the mean of its divisors is an integer number (508000441).

Almost surely, 210528084368 is an apocalyptic number.

10528084368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10528084368 is an abundant number, since it is smaller than the sum of its proper divisors (19951942092).

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

10528084368 is a wasteful number, since it uses less digits than its factorization.

10528084368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521136 (or 2521127 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10528084368 in words is "ten billion, five hundred twenty-eight million, eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 2521093 5042186 7563279 10084372 15126558 20168744 22689837 30253116 40337488 45379674 60506232 73111697 90759348 121012464 146223394 181518696 219335091 292446788 363037392 438670182 584893576 658005273 877340364 1169787152 1316010546 1754680728 2632021092 3509361456 5264042184 10528084368