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1325042144646 = 231125335995923
BaseRepresentation
bin10011010010000010101…
…010101001010110000110
311200200011110120012121220
4103102002222221112012
5133202141242112041
62452414351421210
7164505531252423
oct23220252512606
94620143505556
101325042144646
11470a46824100
12194975b24806
1397c492986cc
14481bd382d4a
152470266ed66
hex13482aa9586

1325042144646 has 96 divisors (see below), whose sum is σ = 2976161045760. Its totient is φ = 392850469440.

The previous prime is 1325042144603. The next prime is 1325042144677. The reversal of 1325042144646 is 6464412405231.

It is a junction number, because it is equal to n+sod(n) for n = 1325042144598 and 1325042144607.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13765641 + ... + 13861563.

It is an arithmetic number, because the mean of its divisors is an integer number (31001677560).

Almost surely, 21325042144646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325042144646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488080522880).

1325042144646 is an abundant number, since it is smaller than the sum of its proper divisors (1651118901114).

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

1325042144646 is a wasteful number, since it uses less digits than its factorization.

1325042144646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96362 (or 96351 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 1325042144646 its reverse (6464412405231), we get a palindrome (7789454549877).

The spelling of 1325042144646 in words is "one trillion, three hundred twenty-five billion, forty-two million, one hundred forty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 359 363 583 718 726 1077 1166 1749 2154 3498 3949 6413 7898 11847 12826 19027 19239 23694 38054 38478 43439 57081 86878 95923 114162 130317 191846 209297 260634 287769 418594 575538 627891 1055153 1255782 2110306 2302267 3165459 4604534 5083919 6330918 6906801 10167838 11606683 13813602 15251757 23213366 30503514 34436357 34820049 55923109 68872714 69640098 103309071 111846218 167769327 206618142 335538654 378799927 615154199 757599854 1136399781 1230308398 1825126921 1845462597 2272799562 3650253842 3690925194 4166799197 5475380763 8333598394 10950761526 12500397591 20076396131 25000795182 40152792262 60229188393 120458376786 220840357441 441680714882 662521072323 1325042144646