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5143008200 = 23521124612
BaseRepresentation
bin1001100101000110…
…00001001111001000
3111021102110212221012
410302203001033020
541013102230300
62210200303052
7241306564001
oct46243011710
914242425835
105143008200
1121aa104200
12bb6471a88
1363c680225
1436b08a1a8
152017a4435
hex1328c13c8

5143008200 has 108 divisors (see below), whose sum is σ = 13171933635. Its totient is φ = 1866128000.

The previous prime is 5143008193. The next prime is 5143008209. The reversal of 5143008200 is 28003415.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 1013403556 + 4129604644 = 31834^2 + 64262^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=50710.

It is not an unprimeable number, because it can be changed into a prime (5143008209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11155970 + ... + 11156430.

Almost surely, 25143008200 is an apocalyptic number.

5143008200 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 5143008200

5143008200 is an abundant number, since it is smaller than the sum of its proper divisors (8028925435).

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

5143008200 is a wasteful number, since it uses less digits than its factorization.

5143008200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5143008200 is about 71714.7697479396. The cubic root of 5143008200 is about 1726.1256477121.

The spelling of 5143008200 in words is "five billion, one hundred forty-three million, eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 461 484 550 605 922 968 1100 1210 1844 2200 2305 2420 3025 3688 4610 4840 5071 6050 9220 10142 11525 12100 18440 20284 23050 24200 25355 40568 46100 50710 55781 92200 101420 111562 126775 202840 212521 223124 253550 278905 425042 446248 507100 557810 850084 1014200 1062605 1115620 1394525 1700168 2125210 2231240 2337731 2789050 4250420 4675462 5313025 5578100 8500840 9350924 10626050 11156200 11688655 18701848 21252100 23377310 25715041 42504200 46754620 51430082 58443275 93509240 102860164 116886550 128575205 205720328 233773100 257150410 467546200 514300820 642876025 1028601640 1285752050 2571504100 5143008200