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13254350223252 = 2235340169477481
BaseRepresentation
bin1100000011100000010011…
…0101100011011110010100
31201221002210110022121211110
43000320010311203132110
53214124402124121002
644104544152335020
72535411104001645
oct300700465433624
951832713277743
1013254350223252
114250158185076
1215a09470a4470
13751b5909c6b8
1433b72a4b56cc
1517eb99355e6c
hexc0e04d63794

13254350223252 has 96 divisors (see below), whose sum is σ = 31597691739264. Its totient is φ = 4322745856000.

The previous prime is 13254350223241. The next prime is 13254350223253. The reversal of 13254350223252 is 25232205345231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13254350223252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13254350223253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771731352 + ... + 1771738832.

It is an arithmetic number, because the mean of its divisors is an integer number (329142622284).

Almost surely, 213254350223252 is an apocalyptic number.

13254350223252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13254350223252 is an abundant number, since it is smaller than the sum of its proper divisors (18343341516012).

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

13254350223252 is a wasteful number, since it uses less digits than its factorization.

13254350223252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14889 (or 14887 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 13254350223252 its reverse (25232205345231), we get a palindrome (38486555568483).

The spelling of 13254350223252 in words is "thirteen trillion, two hundred fifty-four billion, three hundred fifty million, two hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 401 636 802 1203 1604 2406 4812 6947 7481 13894 14962 20841 21253 22443 27788 29924 41682 42506 44886 63759 83364 85012 89772 127518 255036 368191 396493 736382 792986 1104573 1189479 1472764 1585972 2209146 2378958 2785747 2999881 4418292 4757916 5571494 5999762 8357241 8999643 11142988 11999524 16714482 17999286 33428964 35998572 51970507 103941014 147644591 155911521 158993693 207882028 295289182 311823042 317987386 442933773 476981079 590578364 623646084 635974772 885867546 953962158 1771735092 1907924316 2754436871 5508873742 8263310613 11017747484 16526621226 20840173307 33053242452 41680346614 62520519921 83360693228 125041039842 250082079684 1104529185271 2209058370542 3313587555813 4418116741084 6627175111626 13254350223252