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959245132842 = 2323117342123603
BaseRepresentation
bin11011111010101110111…
…01110010010000101010
310101200222102221122220200
431331113131302100222
5111204013223222332
62012400544133030
7126205663045233
oct15752735622052
93350872848820
10959245132842
1133a8a4962aa7
12135aa9307176
136c5c1a06329
14345db8dc08a
1519e4387017c
hexdf5777242a

959245132842 has 96 divisors (see below), whose sum is σ = 2163026750976. Its totient is φ = 306901526400.

The previous prime is 959245132823. The next prime is 959245132849. The reversal of 959245132842 is 248231542959.

959245132842 is a `hidden beast` number, since 9 + 592 + 4 + 5 + 1 + 3 + 2 + 8 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (959245132849) 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, 40629013 + ... + 40652615.

It is an arithmetic number, because the mean of its divisors is an integer number (22531528656).

Almost surely, 2959245132842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959245132842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081513375488).

959245132842 is an abundant number, since it is smaller than the sum of its proper divisors (1203781618134).

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

959245132842 is a wasteful number, since it uses less digits than its factorization.

959245132842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24236 (or 24233 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 959245132842 in words is "nine hundred fifty-nine billion, two hundred forty-five million, one hundred thirty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 173 186 279 346 421 519 558 842 1038 1263 1557 2526 3114 3789 5363 7578 10726 13051 16089 23603 26102 32178 39153 47206 48267 70809 72833 78306 96534 117459 141618 145666 212427 218499 234918 424854 436998 655497 731693 1310994 1463386 2195079 2257823 4083319 4390158 4515646 6585237 6773469 8166638 9936863 12249957 13170474 13546938 19873726 20320407 24499914 29810589 36749871 40640814 59621178 73499742 89431767 126582889 178863534 253165778 308042753 379748667 616085506 759497334 924128259 1139246001 1719077299 1848256518 2278492002 2772384777 3438154598 5157231897 5544769554 10314463794 15471695691 30943391382 53291396269 106582792538 159874188807 319748377614 479622566421 959245132842