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5168515300 = 22521331277463
BaseRepresentation
bin1001101000001000…
…10100100011100100
3111100012110210002121
410310010110203210
541041114442200
62212511115324
7242036440504
oct46404244344
914305423077
105168515300
112212546053
121002b12b44
13644a411a0
14370609a04
15203b41e1a
hex1341148e4

5168515300 has 144 divisors (see below), whose sum is σ = 12540086272. Its totient is φ = 1836172800.

The previous prime is 5168515229. The next prime is 5168515301. The reversal of 5168515300 is 35158615.

It is not an unprimeable number, because it can be changed into a prime (5168515301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11162869 + ... + 11163331.

Almost surely, 25168515300 is an apocalyptic number.

5168515300 is a gapful number since it is divisible by the number (50) 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 5168515300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270043136).

5168515300 is an abundant number, since it is smaller than the sum of its proper divisors (7371570972).

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

5168515300 is a wasteful number, since it uses less digits than its factorization.

5168515300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 5168515300 is about 71892.3869404821. The cubic root of 5168515300 is about 1728.9745557382.

The spelling of 5168515300 in words is "five billion, one hundred sixty-eight million, five hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 277 310 325 403 463 554 620 650 775 806 926 1108 1300 1385 1550 1612 1852 2015 2315 2770 3100 3601 4030 4630 5540 6019 6925 7202 8060 8587 9260 10075 11575 12038 13850 14353 14404 17174 18005 20150 23150 24076 27700 28706 30095 34348 36010 40300 42935 46300 57412 60190 71765 72020 85870 90025 111631 120380 128251 143530 150475 171740 180050 186589 214675 223262 256502 287060 300950 358825 360100 373178 429350 446524 513004 558155 601900 641255 717650 746356 858700 932945 1116310 1282510 1435300 1667263 1865890 2232620 2565020 2790775 3206275 3334526 3731780 3975781 4664725 5581550 6412550 6669052 7951562 8336315 9329450 11163100 12825100 15903124 16672630 18658900 19878905 33345260 39757810 41681575 51685153 79515620 83363150 99394525 103370306 166726300 198789050 206740612 258425765 397578100 516851530 1033703060 1292128825 2584257650 5168515300