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128682348436 = 221710957730089
BaseRepresentation
bin111011111011000010…
…0001100111110010100
3110022011002112121111001
41313312010030332110
54102020140122221
6135041005153044
712203603625415
oct1676604147624
9408132477431
10128682348436
114a634915aa4
1220b3355b784
13c199bc9355
14632a4b180c
153532338391
hex1df610cf94

128682348436 has 48 divisors (see below), whose sum is σ = 241053397200. Its totient is φ = 59894857728.

The previous prime is 128682348349. The next prime is 128682348461. The reversal of 128682348436 is 634843286821.

It can be written as a sum of positive squares in 8 ways, for example, as 40565988100 + 88116360336 = 201410^2 + 296844^2 .

It is a super-2 number, since 2×1286823484362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4261680 + ... + 4291768.

It is an arithmetic number, because the mean of its divisors is an integer number (5021945775).

Almost surely, 2128682348436 is an apocalyptic number.

It is an amenable number.

128682348436 is a deficient number, since it is larger than the sum of its proper divisors (112371048764).

128682348436 is a wasteful number, since it uses less digits than its factorization.

128682348436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30796 (or 30794 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 55.

The spelling of 128682348436 in words is "one hundred twenty-eight billion, six hundred eighty-two million, three hundred forty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 17 34 68 109 218 436 577 1154 1853 2308 3706 7412 9809 19618 30089 39236 60178 62893 120356 125786 251572 511513 1023026 1069181 2046052 2138362 3279701 4276724 6559402 13118804 17361353 34722706 55754917 69445412 111509834 223019668 295143001 590286002 1180572004 1892387477 3784774954 7569549908 32170587109 64341174218 128682348436