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993080227932 = 22321317251497297
BaseRepresentation
bin11100111001110000011…
…00011011100001011100
310111221022110122120201200
432130320030123201130
5112232312014243212
62040114215435500
7131514311442312
oct16347014334134
93457273576650
10993080227932
11353187998801
12140570685b90
13728547a2960
14360cb4120b2
151ac73ee86dc
hexe73831b85c

993080227932 has 144 divisors (see below), whose sum is σ = 2873817509472. Its totient is φ = 286442496000.

The previous prime is 993080227927. The next prime is 993080227943. The reversal of 993080227932 is 239722080399.

It is a happy number.

993080227932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748308 + ... + 2245604.

It is an arithmetic number, because the mean of its divisors is an integer number (19957066038).

Almost surely, 2993080227932 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 993080227932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436908754736).

993080227932 is an abundant number, since it is smaller than the sum of its proper divisors (1880737281540).

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

993080227932 is a wasteful number, since it uses less digits than its factorization.

993080227932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497588 (or 497583 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 993080227932 in words is "nine hundred ninety-three billion, eighty million, two hundred twenty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 251 306 442 468 502 612 663 753 884 1004 1326 1506 1989 2259 2652 3012 3263 3978 4267 4518 6526 7956 8534 9036 9789 12801 13052 17068 19578 25602 29367 38403 39156 51204 55471 58734 76806 110942 117468 153612 166413 221884 332826 497297 499239 665652 994594 998478 1491891 1989188 1996956 2983782 4475673 5967564 6464861 8454049 8951346 12929722 16908098 17902692 19394583 25362147 25859444 33816196 38789166 50724294 58183749 76086441 77578332 101448588 109902637 116367498 124821547 152172882 219805274 232734996 249643094 304345764 329707911 374464641 439610548 499286188 659415822 748929282 989123733 1123393923 1318831644 1497858564 1622680111 1978247466 2121966299 2246787846 3245360222 3956494932 4243932598 4493575692 4868040333 6365898897 6490720444 8487865196 9736080666 12731797794 14604120999 19097696691 19472161332 25463595588 27585561887 29208241998 38195393382 55171123774 58416483996 76390786764 82756685661 110342247548 165513371322 248270056983 331026742644 496540113966 993080227932