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9661144962 = 2373741532861
BaseRepresentation
bin10001111111101100…
…10101111110000010
3220221022011000101210
420333312111332002
5124241223114322
64234355510550
7461261243250
oct107766257602
926838130353
109661144962
114108512227
121a575b8456
13bac737031
146791575d0
153b827670c
hex23fd95f82

9661144962 has 128 divisors (see below), whose sum is σ = 23679226368. Its totient is φ = 2569881600.

The previous prime is 9661144957. The next prime is 9661144967. The reversal of 9661144962 is 2694411669.

It is an interprime number because it is at equal distance from previous prime (9661144957) and next prime (9661144967).

It is not an unprimeable number, because it can be changed into a prime (9661144967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3375412 + ... + 3378272.

It is an arithmetic number, because the mean of its divisors is an integer number (184993956).

Almost surely, 29661144962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9661144962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839613184).

9661144962 is an abundant number, since it is smaller than the sum of its proper divisors (14018081406).

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

9661144962 is a wasteful number, since it uses less digits than its factorization.

9661144962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004.

The product of its digits is 559872, while the sum is 48.

The square root of 9661144962 is about 98291.1235158089. The cubic root of 9661144962 is about 2129.8198295883.

The spelling of 9661144962 in words is "nine billion, six hundred sixty-one million, one hundred forty-four thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 37 41 42 53 74 82 106 111 123 159 222 246 259 287 318 371 518 574 742 777 861 1113 1517 1554 1722 1961 2173 2226 2861 3034 3922 4346 4551 5722 5883 6519 8583 9102 10619 11766 13038 13727 15211 17166 20027 21238 27454 30422 31857 40054 41181 45633 60081 63714 80401 82362 91266 105857 117301 120162 151633 160802 211714 234602 241203 303266 317571 351903 454899 482406 562807 635142 703806 740999 821107 909798 1061431 1125614 1481998 1642214 1688421 2122862 2222997 2463321 3184293 3376842 4340137 4445994 4926642 5610421 6216953 6368586 8680274 11220842 12433906 13020411 16831263 18650859 26040822 30380959 33662526 37301718 39272947 43518671 60761918 78545894 87037342 91142877 117818841 130556013 182285754 230027261 235637682 261112026 460054522 690081783 1380163566 1610190827 3220381654 4830572481 9661144962