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5337918684 = 2233723892593
BaseRepresentation
bin1001111100010101…
…00010110011011100
3111210000020100212000
410332022202303130
541413001344214
62241402042300
7246164363100
oct47612426334
914700210760
105337918684
11229a13034a
12104b7a9390
13670b74a87
14388d05900
15213955809
hex13e2a2cdc

5337918684 has 144 divisors (see below), whose sum is σ = 16146093600. Its totient is φ = 1520612352.

The previous prime is 5337918673. The next prime is 5337918731. The reversal of 5337918684 is 4868197335.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5337918684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057292 + ... + 2059884.

It is an arithmetic number, because the mean of its divisors is an integer number (112125650).

Almost surely, 25337918684 is an apocalyptic number.

5337918684 is a gapful number since it is divisible by the number (54) 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 5337918684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073046800).

5337918684 is an abundant number, since it is smaller than the sum of its proper divisors (10808174916).

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

5337918684 is a wasteful number, since it uses less digits than its factorization.

5337918684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2994 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5337918684 is about 73061.0613391292. The cubic root of 5337918684 is about 1747.6614951415.

The spelling of 5337918684 in words is "five billion, three hundred thirty-seven million, nine hundred eighteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 389 441 588 756 778 882 1167 1323 1556 1764 2334 2593 2646 2723 3501 4668 5186 5292 5446 7002 7779 8169 10372 10503 10892 14004 15558 16338 18151 19061 21006 23337 24507 31116 32676 36302 38122 42012 46674 49014 54453 57183 70011 72604 73521 76244 93348 98028 108906 114366 127057 140022 147042 163359 171549 217812 228732 254114 280044 294084 326718 343098 381171 490077 508228 514647 653436 686196 762342 980154 1008677 1029294 1143513 1524684 1960308 2017354 2058588 2287026 3026031 3430539 4034708 4574052 6052062 6861078 7060739 9078093 12104124 13722156 14121478 18156186 21182217 27234279 28242956 36312372 42364434 49425173 54468558 63546651 84728868 98850346 108937116 127093302 148275519 190639953 197700692 254186604 296551038 381279906 444826557 593102076 762559812 889653114 1334479671 1779306228 2668959342 5337918684