Search a number
-
+
5111413200 = 243352473279
BaseRepresentation
bin1001100001010100…
…11111100111010000
3111012020000200202000
410300222133213100
540432010210300
62203111154000
7240444203205
oct46052374720
914166020660
105111413200
112193294433
12ba7975900
13635c6a26a
14366bc3cac
151edb12c00
hex130a9f9d0

5111413200 has 120 divisors (see below), whose sum is σ = 18192883200. Its totient is φ = 1363040640.

The previous prime is 5111413163. The next prime is 5111413217. The reversal of 5111413200 is 23141115.

5111413200 is a `hidden beast` number, since 51 + 1 + 1 + 413 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51114132002 = 52253089802268480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225840 + ... + 247439.

It is an arithmetic number, because the mean of its divisors is an integer number (151607360).

Almost surely, 25111413200 is an apocalyptic number.

5111413200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5111413200 is an abundant number, since it is smaller than the sum of its proper divisors (13081470000).

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

5111413200 is a wasteful number, since it uses less digits than its factorization.

5111413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473306 (or 473289 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5111413200 is about 71494.1480122674. The cubic root of 5111413200 is about 1722.5836868458.

Adding to 5111413200 its reverse (23141115), we get a palindrome (5134554315).

The spelling of 5111413200 in words is "five billion, one hundred eleven million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 473279 946558 1419837 1893116 2366395 2839674 3786232 4259511 4732790 5679348 7099185 7572464 8519022 9465580 11358696 11831975 12778533 14198370 17038044 18931160 21297555 22717392 23663950 25557066 28396740 34076088 35495925 37862320 42595110 47327900 51114132 56793480 63892665 68152176 70991850 85190220 94655800 102228264 106487775 113586960 127785330 141983700 170380440 189311600 204456528 212975550 255570660 283967400 319463325 340760880 425951100 511141320 567934800 638926650 851902200 1022282640 1277853300 1703804400 2555706600 5111413200