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11325514000986 = 23547969596991
BaseRepresentation
bin1010010011001110110100…
…1111010010101001011010
31111002201010112200020200000
42210303231033102221122
52441024123041012421
640030511434153430
72246145536426343
oct244635517225132
944081115606600
1011325514000986
11367713a441839
12132ab63882876
13641cb7103c63
142b222d01d0ca
15149908c1c226
hexa4ced3d2a5a

11325514000986 has 96 divisors (see below), whose sum is σ = 25507889971200. Its totient is φ = 3766209819120.

The previous prime is 11325514000907. The next prime is 11325514000987. The reversal of 11325514000986 is 68900041552311.

It is a happy number.

11325514000986 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 551 + 4 + 0 + 0 + 0 + 98 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11325514000987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1620009951 + ... + 1620016941.

It is an arithmetic number, because the mean of its divisors is an integer number (265707187200).

Almost surely, 211325514000986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11325514000986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753944985600).

11325514000986 is an abundant number, since it is smaller than the sum of its proper divisors (14182375970214).

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

11325514000986 is an equidigital number, since it uses as much as digits as its factorization.

11325514000986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14446 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11325514000986 in words is "eleven trillion, three hundred twenty-five billion, five hundred fourteen million, nine hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 162 243 479 486 958 1437 2874 4311 6959 6991 8622 12933 13918 13982 20877 20973 25866 38799 41754 41946 62631 62919 77598 116397 125262 125838 187893 188757 232794 375786 377514 563679 566271 1127358 1132542 1691037 1698813 3333361 3348689 3382074 3397626 6666722 6697378 10000083 10046067 20000166 20092134 30000249 30138201 48650369 60000498 60276402 90000747 90414603 97300738 145951107 180001494 180829206 270002241 271243809 291902214 437853321 540004482 542487618 810006723 813731427 875706642 1313559963 1620013446 1627462854 2627119926 3940679889 7881359778 11822039667 23303526751 23644079334 46607053502 69910580253 139821160506 209731740759 419463481518 629195222277 1258390444554 1887585666831 3775171333662 5662757000493 11325514000986