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990965711862 = 2327219419141131
BaseRepresentation
bin11100110101110100010…
…10001100001111110110
310111201212002211000222200
432122322022030033312
5112213444210234422
62035124322205330
7131411024366400
oct16327212141766
93451762730880
10990965711862
113522a2345565
121400804b3846
13725a86a1809
1435d6a667b70
151ab9d5652ac
hexe6ba28c3f6

990965711862 has 144 divisors (see below), whose sum is σ = 2635386062400. Its totient is φ = 267589254240.

The previous prime is 990965711839. The next prime is 990965711863. The reversal of 990965711862 is 268117569099.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 990965711862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990965711863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6951037 + ... + 7092167.

It is an arithmetic number, because the mean of its divisors is an integer number (18301292100).

Almost surely, 2990965711862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990965711862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317693031200).

990965711862 is an abundant number, since it is smaller than the sum of its proper divisors (1644420350538).

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

990965711862 is a wasteful number, since it uses less digits than its factorization.

990965711862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141591 (or 141581 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 990965711862 in words is "nine hundred ninety billion, nine hundred sixty-five million, seven hundred eleven thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 419 441 798 838 882 931 1197 1257 1862 2394 2514 2793 2933 3771 5586 5866 7542 7961 8379 8799 15922 16758 17598 20531 23883 26397 41062 47766 52794 55727 61593 71649 111454 123186 141131 143298 167181 184779 282262 334362 369558 390089 423393 501543 780178 846786 987917 1003086 1170267 1270179 1975834 2340534 2540358 2681489 2963751 3510801 5362978 5927502 6915419 7021602 8044467 8891253 13830838 16088934 17782506 18770423 20746257 24133401 37540846 41492514 48266802 56311269 59133889 62238771 112622538 118267778 124477542 131392961 168933807 177401667 262785922 337867614 354803334 394178883 413937223 532205001 788357766 827874446 1064410002 1123543891 1182536649 1241811669 2247087782 2365073298 2483623338 2897560561 3370631673 3725435007 5795121122 6741263346 7450870014 7864807237 8692681683 10111895019 15729614474 17385363366 20223790038 23594421711 26078045049 47188843422 52156090098 55053650659 70783265133 110107301318 141566530266 165160951977 330321903954 495482855931 990965711862