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5131612350 = 23252172923131
BaseRepresentation
bin1001100011101111…
…00011000010111110
3111020122000220202200
410301313203002332
541002143043400
62205112132330
7241110661644
oct46167430276
914218026680
105131612350
1121a3730347
12bb26970a6
1363a1c0217
14369761194
152007a2b00
hex131de30be

5131612350 has 144 divisors (see below), whose sum is σ = 15101957520. Its totient is φ = 1243468800.

The previous prime is 5131612349. The next prime is 5131612351. The reversal of 5131612350 is 532161315.

5131612350 is a `hidden beast` number, since 5 + 13 + 1 + 612 + 35 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5131612349) and next prime (5131612351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131612351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210285 + ... + 233415.

It is an arithmetic number, because the mean of its divisors is an integer number (104874705).

Almost surely, 25131612350 is an apocalyptic number.

5131612350 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 5131612350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550978760).

5131612350 is an abundant number, since it is smaller than the sum of its proper divisors (9970345170).

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

5131612350 is a wasteful number, since it uses less digits than its factorization.

5131612350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23195 (or 23187 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5131612350 is about 71635.2730852616. The cubic root of 5131612350 is about 1724.8497915835.

Adding to 5131612350 its reverse (532161315), we get a palindrome (5663773665).

The spelling of 5131612350 in words is "five billion, one hundred thirty-one million, six hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 29 30 34 45 50 51 58 75 85 87 90 102 145 150 153 170 174 225 255 261 290 306 425 435 450 493 510 522 725 765 850 870 986 1275 1305 1450 1479 1530 2175 2465 2550 2610 2958 3825 4350 4437 4930 6525 7395 7650 8874 12325 13050 14790 22185 23131 24650 36975 44370 46262 69393 73950 110925 115655 138786 208179 221850 231310 346965 393227 416358 578275 670799 693930 786454 1040895 1156550 1179681 1341598 1734825 1966135 2012397 2081790 2359362 3353995 3469650 3539043 3932270 4024794 5204475 5898405 6037191 6707990 7078086 9830675 10061985 10408950 11403583 11796810 12074382 16769975 17695215 19661350 20123970 22807166 29492025 30185955 33539950 34210749 35390430 50309925 57017915 58984050 60371910 68421498 88476075 100619850 102632247 114035830 150929775 171053745 176952150 205264494 285089575 301859550 342107490 513161235 570179150 855268725 1026322470 1710537450 2565806175 5131612350