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13253414660 = 2251922379811
BaseRepresentation
bin11000101011111011…
…10000111100000100
31021012122122020000122
430111331300330010
5204120333232120
610031042401112
7646301110613
oct142575607404
937178566018
1013253414660
115691230662
12269a660198
131332a3b6c5
148da29387a
1552880ca25
hex315f70f04

13253414660 has 72 divisors (see below), whose sum is σ = 30651638976. Its totient is φ = 4803923520.

The previous prime is 13253414633. The next prime is 13253414731. The reversal of 13253414660 is 6641435231.

13253414660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13253414660.

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 23 ways as a sum of consecutive naturals, for example, 126155 + ... + 205965.

It is an arithmetic number, because the mean of its divisors is an integer number (425717208).

Almost surely, 213253414660 is an apocalyptic number.

13253414660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13253414660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15325819488).

13253414660 is an abundant number, since it is smaller than the sum of its proper divisors (17398224316).

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

13253414660 is a wasteful number, since it uses less digits than its factorization.

13253414660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79881 (or 79860 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 13253414660 its reverse (6641435231), we get a palindrome (19894849891).

The spelling of 13253414660 in words is "thirteen billion, two hundred fifty-three million, four hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 361 380 437 460 722 874 1444 1748 1805 2185 3610 4370 7220 8303 8740 16606 33212 41515 79811 83030 159622 166060 319244 399055 798110 1516409 1596220 1835653 3032818 3671306 6065636 7342612 7582045 9178265 15164090 18356530 28811771 30328180 34877407 36713060 57623542 69754814 115247084 139509628 144058855 174387035 288117710 348774070 576235420 662670733 697548140 1325341466 2650682932 3313353665 6626707330 13253414660