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5118628140 = 223453159647
BaseRepresentation
bin1001100010001100…
…00001000100101100
3111012201121020210000
410301012001010230
540440332100030
62203525544300
7240562423053
oct46106010454
914181536700
105118628140
11219737209a
12baa275090
136375c5262
14367b4139a
151ee58a860
hex13118112c

5118628140 has 60 divisors (see below), whose sum is σ = 16057331136. Its totient is φ = 1364967072.

The previous prime is 5118628121. The next prime is 5118628153. The reversal of 5118628140 is 418268115.

5118628140 is a `hidden beast` number, since 5 + 1 + 18 + 628 + 14 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×51186281403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5118628095 and 5118628104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1578204 + ... + 1581443.

Almost surely, 25118628140 is an apocalyptic number.

It is an amenable number.

5118628140 is an abundant number, since it is smaller than the sum of its proper divisors (10938702996).

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

5118628140 is a wasteful number, since it uses less digits than its factorization.

5118628140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159668 (or 3159657 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5118628140 is about 71544.5884746009. The cubic root of 5118628140 is about 1723.3938016720.

The spelling of 5118628140 in words is "five billion, one hundred eighteen million, six hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3159647 6319294 9478941 12638588 15798235 18957882 28436823 31596470 37915764 47394705 56873646 63192940 85310469 94789410 113747292 142184115 170620938 189578820 255931407 284368230 341241876 426552345 511862814 568736460 853104690 1023725628 1279657035 1706209380 2559314070 5118628140