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15316000200 = 23325229172
BaseRepresentation
bin11100100001110011…
…11001110111001000
31110112101202102110200
432100321321313020
5222331344001300
611011443012200
71051354565544
oct162071716710
943471672420
1015316000200
11654a534706
122b7536a060
1315a1159817
14a541a0a24
155e9934200
hex390e79dc8

15316000200 has 108 divisors (see below), whose sum is σ = 51453873315. Its totient is φ = 4082866560.

The previous prime is 15316000199. The next prime is 15316000211. The reversal of 15316000200 is 200061351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15316000200 is a `hidden beast` number, since 15 + 31 + 600 + 0 + 20 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 14830855524 + 485144676 = 121782^2 + 22026^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=87510.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5249142 + ... + 5252058.

Almost surely, 215316000200 is an apocalyptic number.

15316000200 is a gapful number since it is divisible by the number (10) 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 15316000200

15316000200 is an abundant number, since it is smaller than the sum of its proper divisors (36137873115).

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

15316000200 is an equidigital number, since it uses as much as digits as its factorization.

15316000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Multiplying 15316000200 by its sum of digits (18), we get a square (275688003600 = 5250602).

15316000200 divided by its sum of digits (18) gives a square (850888900 = 291702).

Adding to 15316000200 its reverse (200061351), we get a palindrome (15516061551).

The spelling of 15316000200 in words is "fifteen billion, three hundred sixteen million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2917 5834 8751 11668 14585 17502 23336 26253 29170 35004 43755 52506 58340 70008 72925 87510 105012 116680 131265 145850 175020 210024 218775 262530 291700 350040 437550 525060 583400 656325 875100 1050120 1312650 1750200 2625300 5250600 8508889 17017778 25526667 34035556 42544445 51053334 68071112 76580001 85088890 102106668 127633335 153160002 170177780 204213336 212722225 255266670 306320004 340355560 382900005 425444450 510533340 612640008 638166675 765800010 850888900 1021066680 1276333350 1531600020 1701777800 1914500025 2552666700 3063200040 3829000050 5105333400 7658000100 15316000200