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93503909340 = 223253139742209
BaseRepresentation
bin101011100010101000…
…1000110110111011100
322221100110002202010100
41113011101012313130
53012444000044330
6110542145141100
76520054054452
oct1270521066734
9287313082110
1093503909340
1136722579036
121615632a790
138a81a2a10a
1447503d69d2
152673cac060
hex15c5446ddc

93503909340 has 144 divisors (see below), whose sum is σ = 293522261760. Its totient is φ = 24068689920.

The previous prime is 93503909333. The next prime is 93503909341. The reversal of 93503909340 is 4390930539.

93503909340 is a `hidden beast` number, since 93 + 50 + 390 + 93 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93503909341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2194156 + ... + 2236364.

It is an arithmetic number, because the mean of its divisors is an integer number (2038349040).

Almost surely, 293503909340 is an apocalyptic number.

93503909340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93503909340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146761130880).

93503909340 is an abundant number, since it is smaller than the sum of its proper divisors (200018352420).

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

93503909340 is a wasteful number, since it uses less digits than its factorization.

93503909340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42652 (or 42647 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 93503909340 in words is "ninety-three billion, five hundred three million, nine hundred nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 397 465 558 620 794 930 1116 1191 1395 1588 1860 1985 2382 2790 3573 3970 4764 5580 5955 7146 7940 11910 12307 14292 17865 23820 24614 35730 36921 42209 49228 61535 71460 73842 84418 110763 123070 126627 147684 168836 184605 211045 221526 246140 253254 369210 379881 422090 443052 506508 553815 633135 738420 759762 844180 1107630 1266270 1308479 1519524 1899405 2215260 2532540 2616958 3798810 3925437 5233916 6542395 7597620 7850874 11776311 13084790 15701748 16756973 19627185 23552622 26169580 33513946 39254370 47105244 50270919 58881555 67027892 78508740 83784865 100541838 117763110 150812757 167569730 201083676 235526220 251354595 301625514 335139460 502709190 519466163 603251028 754063785 1005418380 1038932326 1508127570 1558398489 2077864652 2597330815 3016255140 3116796978 4675195467 5194661630 6233593956 7791992445 9350390934 10389323260 15583984890 18700781868 23375977335 31167969780 46751954670 93503909340