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996165744075 = 3252107251353467
BaseRepresentation
bin11100111111100000001…
…10101111010111001011
310112020021111121001011100
432133300012233113023
5112310121412302300
62041344321032443
7131653626054225
oct16376006572713
93466244531140
10996165744075
11354520657747
12141091a85723
1372c26ac9258
1436301119415
151ada4d30700
hexe7f01af5cb

996165744075 has 144 divisors (see below), whose sum is σ = 1817098448256. Its totient is φ = 521621760000.

The previous prime is 996165744043. The next prime is 996165744097. The reversal of 996165744075 is 570447561699.

996165744075 is a `hidden beast` number, since 9 + 9 + 6 + 16 + 574 + 40 + 7 + 5 = 666.

It is not a de Polignac number, because 996165744075 - 25 = 996165744043 is a prime.

It is a super-3 number, since 3×9961657440753 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2133116992 + ... + 2133117458.

It is an arithmetic number, because the mean of its divisors is an integer number (12618739224).

Almost surely, 2996165744075 is an apocalyptic number.

996165744075 is a deficient number, since it is larger than the sum of its proper divisors (820932704181).

996165744075 is a wasteful number, since it uses less digits than its factorization.

996165744075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 996165744075 in words is "nine hundred ninety-six billion, one hundred sixty-five million, seven hundred forty-four thousand, seventy-five".

Divisors: 1 3 5 9 15 25 45 75 107 225 251 321 353 467 535 753 963 1059 1255 1401 1605 1765 2259 2335 2675 3177 3765 4203 4815 5295 6275 7005 8025 8825 11295 11675 15885 18825 21015 24075 26475 26857 35025 37771 49969 56475 79425 80571 88603 105075 113313 117217 134285 149907 164851 188855 241713 249845 265809 339939 351651 402855 443015 449721 494553 566565 586085 671425 749535 797427 824255 944275 1054953 1208565 1249225 1329045 1483659 1699695 1758255 2014275 2215075 2248605 2472765 2832825 2930425 3747675 3987135 4121275 5274765 6042825 6645225 7418295 8498475 8791275 9480521 11243025 12363825 12542219 17639057 19935675 26373825 28441563 37091475 37626657 41377601 47402605 52917171 62711095 85324689 88195285 112879971 124132803 142207815 158751513 188133285 206888005 237013025 264585855 313555475 372398409 426623445 440976425 564399855 620664015 711039075 793757565 940666425 1034440025 1322929275 1861992045 2133117225 2821999275 3103320075 3968787825 4427403307 9309960225 13282209921 22137016535 39846629763 66411049605 110685082675 199233148815 332055248025 996165744075