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13535053532 = 22711136075569
BaseRepresentation
bin11001001101100000…
…01000011011011100
31021221021120221220222
430212300020123130
5210204433203112
610115023100512
7656261025320
oct144660103334
937837527828
1013535053532
115816204060
122758a41738
1313791ab020
14925847980
155433e1372
hex326c086dc

13535053532 has 96 divisors (see below), whose sum is σ = 31860756480. Its totient is φ = 4858859520.

The previous prime is 13535053529. The next prime is 13535053549. The reversal of 13535053532 is 23535053531.

It is a super-2 number, since 2×135350535322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13535053492 and 13535053501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427644 + ... + 2433212.

It is an arithmetic number, because the mean of its divisors is an integer number (331882880).

Almost surely, 213535053532 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 13535053532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930378240).

13535053532 is an abundant number, since it is smaller than the sum of its proper divisors (18325702948).

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

13535053532 is a wasteful number, since it uses less digits than its factorization.

13535053532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 35.

Subtracting 13535053532 from its reverse (23535053531), we obtain a palindrome (9999999999).

The spelling of 13535053532 in words is "thirteen billion, five hundred thirty-five million, fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 607 1001 1214 2002 2428 4004 4249 5569 6677 7891 8498 11138 13354 15782 16996 22276 26708 31564 38983 46739 55237 61259 72397 77966 86801 93478 110474 122518 144794 155932 173602 186956 220948 245036 289588 347204 428813 506779 607607 796367 857626 1013558 1215214 1592734 1715252 2027116 2430428 3185468 3380383 5574569 6760766 11149138 13521532 22298276 23662681 37184213 43944979 47325362 74368426 87889958 94650724 148736852 175779916 260289491 307614853 483394769 520578982 615229706 966789538 1041157964 1230459412 1933579076 3383763383 6767526766 13535053532