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2618113059030 = 235743581349877
BaseRepresentation
bin100110000110010011101…
…100101110100011010110
3100021021210210121122022110
4212012103230232203112
5320343343420342110
65322424453011450
7360103165550250
oct46062354564326
910237723548273
102618113059030
1191a376627757
123634a8923b86
1315cb6b988991
1490a08590cd0
15481830d7a20
hex26193b2e8d6

2618113059030 has 128 divisors (see below), whose sum is σ = 7349524098048. Its totient is φ = 584396692992.

The previous prime is 2618113059019. The next prime is 2618113059031. The reversal of 2618113059030 is 309503118162.

2618113059030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2618113059030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2618113059031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52466452 + ... + 52516328.

It is an arithmetic number, because the mean of its divisors is an integer number (57418157016).

Almost surely, 22618113059030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2618113059030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674762049024).

2618113059030 is an abundant number, since it is smaller than the sum of its proper divisors (4731411039018).

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

2618113059030 is a wasteful number, since it uses less digits than its factorization.

2618113059030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55750.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 2618113059030 in words is "two trillion, six hundred eighteen billion, one hundred thirteen million, fifty-nine thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 3010 4515 5813 9030 11626 17439 29065 34878 40691 49877 58130 81382 87195 99754 122073 149631 174390 203455 244146 249385 249959 299262 349139 406910 498770 499918 610365 698278 748155 749877 1047417 1220730 1249795 1496310 1499754 1745695 1749713 2094834 2144711 2499590 3491390 3499426 3749385 4289422 5237085 5249139 6434133 7498770 8748565 10474170 10498278 10723555 12868266 15012977 17497130 21447110 26245695 30025954 32170665 45038931 52491390 64341330 75064885 90077862 150129770 225194655 289935001 450389310 579870002 869805003 1449675005 1739610006 2029545007 2899350010 4059090014 4349025015 6088635021 8698050030 10147725035 12177270042 12467205043 20295450070 24934410086 30443175105 37401615129 60886350210 62336025215 74803230258 87270435301 124672050430 174540870602 187008075645 261811305903 374016151290 436352176505 523622611806 872704353010 1309056529515 2618113059030