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93369074040 = 233251122143459
BaseRepresentation
bin101011011110100111…
…0110000000101111000
322221000001101101212100
41112331032300011320
53012204440332130
6110520531143400
76513526014564
oct1267516600570
9287001341770
1093369074040
1136663454300
1216119144b60
138a5cb0a808
14473a5386a4
152667025c60
hex15bd3b0178

93369074040 has 144 divisors (see below), whose sum is σ = 333543810600. Its totient is φ = 22634916480.

The previous prime is 93369074009. The next prime is 93369074059. The reversal of 93369074040 is 4047096339.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1028170 + ... + 1115289.

Almost surely, 293369074040 is an apocalyptic number.

93369074040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93369074040 is an abundant number, since it is smaller than the sum of its proper divisors (240174736560).

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

93369074040 is a wasteful number, since it uses less digits than its factorization.

93369074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143498 (or 2143480 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 93369074040 in words is "ninety-three billion, three hundred sixty-nine million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 2143459 4286918 6430377 8573836 10717295 12860754 17147672 19291131 21434590 23578049 25721508 32151885 38582262 42869180 47156098 51443016 64303770 70734147 77164524 85738360 94312196 96455655 117890245 128607540 141468294 154329048 188624392 192911310 212202441 235780490 257215080 259358539 282936588 353670735 385822620 424404882 471560980 518717078 565873176 707341470 771645240 778075617 848809764 943121960 1037434156 1061012205 1296792695 1414682940 1556151234 1697619528 2074868312 2122024410 2334226851 2593585390 2829365880 3112302468 3890378085 4244048820 4668453702 5187170780 6224604936 7780756170 8488097640 9336907404 10374341560 11671134255 15561512340 18673814808 23342268510 31123024680 46684537020 93369074040