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10628985509 = 41733335353
BaseRepresentation
bin10011110011000100…
…10111001010100101
31000102202022102000222
421321202113022211
5133232010014014
64514412014125
7524252612642
oct117142271245
930382272028
1010628985509
11456487014a
122087761345
1310050c434c
1472b8d2dc9
1542320408e
hex2798972a5

10628985509 has 8 divisors (see below), whose sum is σ = 10890021912. Its totient is φ = 10368034560.

The previous prime is 10628985503. The next prime is 10628985517. The reversal of 10628985509 is 90558982601.

10628985509 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 4 ways, for example, as 195384484 + 10433601025 = 13978^2 + 102145^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10628985509 - 220 = 10627936933 is a prime.

It is a super-2 number, since 2×106289855092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628985503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 282977 + ... + 318329.

It is an arithmetic number, because the mean of its divisors is an integer number (1361252739).

Almost surely, 210628985509 is an apocalyptic number.

It is an amenable number.

10628985509 is a deficient number, since it is larger than the sum of its proper divisors (261036403).

10628985509 is an equidigital number, since it uses as much as digits as its factorization.

10628985509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42727.

The product of its (nonzero) digits is 1555200, while the sum is 53.

The spelling of 10628985509 in words is "ten billion, six hundred twenty-eight million, nine hundred eighty-five thousand, five hundred nine".

Divisors: 1 41 7333 35353 300653 1449473 259243549 10628985509