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10065063232 = 26737216411
BaseRepresentation
bin10010101111110110…
…01010110101000000
3221222110012012002201
421113323022311000
5131103124010412
64342425122544
7504264424450
oct112773126500
927873165081
1010065063232
1142a5513a84
121b4a929454
13c4531ac23
146b6a5bd60
153dd960e57
hex257ecad40

10065063232 has 84 divisors (see below), whose sum is σ = 23461150944. Its totient is φ = 4196759040.

The previous prime is 10065063199. The next prime is 10065063259. The reversal of 10065063232 is 23236056001.

10065063232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10065063232.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 605107 + ... + 621517.

It is an arithmetic number, because the mean of its divisors is an integer number (279299416).

Almost surely, 210065063232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10065063232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730575472).

10065063232 is an abundant number, since it is smaller than the sum of its proper divisors (13396087712).

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

10065063232 is an equidigital number, since it uses as much as digits as its factorization.

10065063232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16504 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 10065063232 in words is "ten billion, sixty-five million, sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 1369 2072 2368 2738 4144 5476 8288 9583 10952 16411 16576 19166 21904 32822 38332 43808 65644 76664 87616 114877 131288 153328 229754 262576 306656 459508 525152 607207 613312 919016 1050304 1214414 1838032 2428828 3676064 4250449 4857656 7352128 8500898 9715312 17001796 19430624 22466659 34003592 38861248 44933318 68007184 89866636 136014368 157266613 179733272 272028736 314533226 359466544 629066452 718933088 1258132904 1437866176 2516265808 5032531616 10065063232