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52302016305 = 355711559051
BaseRepresentation
bin110000101101011100…
…010110111100110001
312000000000110201100000
4300231130112330301
51324103304010210
640005513420213
73531043542360
oct605534267461
9160000421300
1052302016305
11201aa140a70
12a177a0a669
134c1696c856
1427623657d7
151561a13ac0
hexc2d716f31

52302016305 has 96 divisors (see below), whose sum is σ = 117213078528. Its totient is φ = 21735864000.

The previous prime is 52302016301. The next prime is 52302016331. The reversal of 52302016305 is 50361020325.

52302016305 is a `hidden beast` number, since 5 + 2 + 3 + 0 + 20 + 1 + 630 + 5 = 666.

It is not a de Polignac number, because 52302016305 - 22 = 52302016301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52302016301) 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 95 ways as a sum of consecutive naturals, for example, 185971 + ... + 373080.

It is an arithmetic number, because the mean of its divisors is an integer number (1220969568).

Almost surely, 252302016305 is an apocalyptic number.

52302016305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52302016305 is an abundant number, since it is smaller than the sum of its proper divisors (64911062223).

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

52302016305 is a wasteful number, since it uses less digits than its factorization.

52302016305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559089 (or 559077 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 52302016305 in words is "fifty-two billion, three hundred two million, sixteen thousand, three hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 243 297 315 385 405 495 567 693 891 945 1155 1215 1485 1701 2079 2673 2835 3465 4455 6237 8505 10395 13365 18711 31185 93555 559051 1677153 2795255 3913357 5031459 6149561 8385765 11740071 15094377 18448683 19566785 25157295 30747805 35220213 43046927 45283131 55346049 58700355 75471885 92243415 105660639 129140781 135849393 166038147 176101065 215234635 226415655 276730245 316981917 387422343 498114441 528303195 645703905 679246965 830190735 950945751 1162267029 1494343323 1584909585 1937111715 2490572205 3486801087 4754728755 5811335145 7471716615 10460403261 17434005435 52302016305