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5166301350 = 235274122927
BaseRepresentation
bin1001100111110111…
…11000000010100110
3111100001022022010110
410303323320002212
541040033120400
62212351433450
7242011560030
oct46373700246
914301268113
105166301350
112211273741
121002225886
13644447562
143701d0c50
15203855e50
hex133ef80a6

5166301350 has 144 divisors (see below), whose sum is σ = 15013753344. Its totient is φ = 1151673600.

The previous prime is 5166301333. The next prime is 5166301351. The reversal of 5166301350 is 531036615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166301351) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1763587 + ... + 1766513.

It is an arithmetic number, because the mean of its divisors is an integer number (104262176).

Almost surely, 25166301350 is an apocalyptic number.

5166301350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166301350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506876672).

5166301350 is an abundant number, since it is smaller than the sum of its proper divisors (9847451994).

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

5166301350 is a wasteful number, since it uses less digits than its factorization.

5166301350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 5166301350 is about 71876.9876246911. The cubic root of 5166301350 is about 1728.7276498936.

Adding to 5166301350 its reverse (531036615), we get a palindrome (5697337965).

The spelling of 5166301350 in words is "five billion, one hundred sixty-six million, three hundred one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 150 175 205 210 246 287 350 410 525 574 615 861 1025 1050 1230 1435 1681 1722 2050 2870 2927 3075 3362 4305 5043 5854 6150 7175 8405 8610 8781 10086 11767 14350 14635 16810 17562 20489 21525 23534 25215 29270 35301 40978 42025 43050 43905 50430 58835 61467 70602 73175 84050 87810 102445 117670 120007 122934 126075 146350 176505 204890 219525 240014 252150 294175 307335 353010 360021 439050 512225 588350 600035 614670 720042 840049 882525 1024450 1200070 1536675 1680098 1765050 1800105 2520147 3000175 3073350 3600210 4200245 4920287 5040294 6000350 8400490 9000525 9840574 12600735 14760861 18001050 21001225 24601435 25201470 29521722 34442009 42002450 49202870 63003675 68884018 73804305 103326027 123007175 126007350 147608610 172210045 206652054 246014350 344420090 369021525 516630135 738043050 861050225 1033260270 1722100450 2583150675 5166301350