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993909694320 = 243352915867013
BaseRepresentation
bin11100111011010011010…
…00100101111101110000
310112000110021102211201000
432131221220211331300
5112241011340204240
62040332410042000
7131544003002544
oct16355150457560
93460407384630
10993909694320
11353573125114
12140762419300
13729575a197a
143616964ba24
151acc1c41430
hexe769a25f70

993909694320 has 160 divisors (see below), whose sum is σ = 3541517524800. Its totient is φ = 255903169536.

The previous prime is 993909694207. The next prime is 993909694391. The reversal of 993909694320 is 23496909399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7870867 + ... + 7996146.

It is an arithmetic number, because the mean of its divisors is an integer number (22134484530).

Almost surely, 2993909694320 is an apocalyptic number.

993909694320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993909694320 is an abundant number, since it is smaller than the sum of its proper divisors (2547607830480).

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

993909694320 is a wasteful number, since it uses less digits than its factorization.

993909694320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15867064 (or 15867052 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 993909694320 in words is "nine hundred ninety-three billion, nine hundred nine million, six hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3132 3480 3915 4176 5220 6264 6960 7830 10440 12528 15660 20880 31320 62640 15867013 31734026 47601039 63468052 79335065 95202078 126936104 142803117 158670130 190404156 238005195 253872208 285606234 317340260 380808312 428409351 460143377 476010390 571212468 634680520 714015585 761616624 856818702 920286754 952020780 1142424936 1269361040 1380430131 1428031170 1713637404 1840573508 1904041560 2142046755 2284849872 2300716885 2760860262 2856062340 3427274808 3681147016 3808083120 4141290393 4284093510 4601433770 5521720524 5712124680 6854549616 6902150655 7362294032 8282580786 8568187020 9202867540 11043441048 11424249360 12423871179 13804301310 16565161572 17136374040 18405735080 20706451965 22086882096 24847742358 27608602620 33130323144 34272748080 36811470160 41412903930 49695484716 55217205240 62119355895 66260646288 82825807860 99390969432 110434410480 124238711790 165651615720 198781938864 248477423580 331303231440 496954847160 993909694320