Search a number
-
+
1325502150024 = 233135976993637
BaseRepresentation
bin10011010010011110000…
…101011011010110001000
311200201100112010220101010
4103102132011123112020
5133204112022300044
62452532143123520
7164523115243113
oct23223605332610
94621315126333
101325502150024
11471162453a38
12194a83ba35a0
1397cc0689540
14482244c757a
152472cc37bb9
hex1349e15b588

1325502150024 has 128 divisors (see below), whose sum is σ = 3633903504000. Its totient is φ = 400408510464.

The previous prime is 1325502150017. The next prime is 1325502150029. The reversal of 1325502150024 is 4200512055231.

It is a junction number, because it is equal to n+sod(n) for n = 1325502149973 and 1325502150000.

It is not an unprimeable number, because it can be changed into a prime (1325502150029) 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, 14108934 + ... + 14202570.

It is an arithmetic number, because the mean of its divisors is an integer number (28389871125).

Almost surely, 21325502150024 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 1325502150024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816951752000).

1325502150024 is an abundant number, since it is smaller than the sum of its proper divisors (2308401353976).

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

1325502150024 is a wasteful number, since it uses less digits than its factorization.

1325502150024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94487 (or 94483 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1325502150024 in words is "one trillion, three hundred twenty-five billion, five hundred two million, one hundred fifty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 769 1416 1534 1538 2301 2307 3068 3076 4602 4614 6136 6152 9204 9228 9997 18408 18456 19994 29991 39988 45371 59982 79976 90742 93637 119964 136113 181484 187274 239928 272226 280911 362968 374548 544452 561822 589823 749096 1088904 1123644 1179646 1217281 1769469 2247288 2359292 2434562 3538938 3651843 4718584 4869124 5524583 7077876 7303686 9738248 11049166 14155752 14607372 16573749 22098332 29214744 33147498 44196664 66294996 71819579 72006853 132589992 143639158 144013706 215458737 216020559 287278316 288027412 430917474 432041118 574556632 576054824 861834948 864082236 936089089 1723669896 1728164472 1872178178 2808267267 3744356356 4248404327 5616534534 7488712712 8496808654 11233069068 12745212981 16993617308 22466138136 25490425962 33987234616 50980851924 55229256251 101961703848 110458512502 165687768753 220917025004 331375537506 441834050008 662751075012 1325502150024