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5058998505 = 335112337919
BaseRepresentation
bin1001011011000101…
…00011000011101001
3111001120101202022000
410231202203003221
540330100423010
62153555521213
7236236530531
oct45542430351
914046352260
105058998505
112166744500
12b922b9209
13628147a52
1435dc5c4c1
151e920c7c0
hex12d8a30e9

5058998505 has 96 divisors (see below), whose sum is σ = 9925843200. Its totient is φ = 2442908160.

The previous prime is 5058998491. The next prime is 5058998509.

5058998505 is a `hidden beast` number, since 5 + 0 + 589 + 9 + 8 + 50 + 5 = 666.

5058998505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5058998505 - 24 = 5058998489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5058998509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5504436 + ... + 5505354.

It is an arithmetic number, because the mean of its divisors is an integer number (103394200).

Almost surely, 25058998505 is an apocalyptic number.

5058998505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5058998505 is a deficient number, since it is larger than the sum of its proper divisors (4866844695).

5058998505 is a wasteful number, since it uses less digits than its factorization.

5058998505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 54.

The square root of 5058998505 is about 71126.6370989097. The cubic root of 5058998505 is about 1716.6753998152.

The spelling of 5058998505 in words is "five billion, fifty-eight million, nine hundred ninety-eight thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 337 363 495 605 919 1011 1089 1485 1685 1815 2757 3033 3267 3707 4595 5055 5445 8271 9099 10109 11121 13785 15165 16335 18535 24813 30327 33363 40777 41355 45495 50545 55605 90981 100089 111199 122331 124065 151635 166815 203885 272943 309703 333597 366993 454905 500445 555995 611655 929109 1000791 1100979 1364715 1548515 1667985 1834965 2787327 3002373 3406733 4645545 5003955 5504895 8361981 10220199 13936635 15011865 17033665 30660597 37474063 41809905 51100995 91981791 112422189 153302985 187370315 337266567 459908955 562110945 1011799701 1686332835 5058998505