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1005086486690 = 2511213103620351
BaseRepresentation
bin11101010000000111101…
…00101011000010100010
310120002022012112201110222
432220003310223002202
5112431404120033230
62045421431323042
7132420660114206
oct16500364530242
93502265481428
101005086486690
11358289134700
12142961520482
1373a19019190
1436909bbcb06
151b2280a36e5
hexea03d2b0a2

1005086486690 has 96 divisors (see below), whose sum is σ = 2162338633728. Its totient is φ = 334095696000.

The previous prime is 1005086486671. The next prime is 1005086486753. The reversal of 1005086486690 is 966846805001.

It is a super-2 number, since 2×10050864866902 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1310015 + ... + 1930365.

It is an arithmetic number, because the mean of its divisors is an integer number (22524360768).

Almost surely, 21005086486690 is an apocalyptic number.

1005086486690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005086486690 is an abundant number, since it is smaller than the sum of its proper divisors (1157252147038).

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

1005086486690 is a wasteful number, since it uses less digits than its factorization.

1005086486690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620496 (or 620485 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 1005086486690 in words is "one trillion, five billion, eighty-six million, four hundred eighty-six thousand, six hundred ninety".

Divisors: 1 2 5 10 11 13 22 26 55 65 103 110 121 130 143 206 242 286 515 605 715 1030 1133 1210 1339 1430 1573 2266 2678 3146 5665 6695 7865 11330 12463 13390 14729 15730 24926 29458 62315 73645 124630 147290 162019 324038 620351 810095 1240702 1620190 3101755 6203510 6823861 8064563 13647722 16129126 34119305 40322815 63896153 68238610 75062471 80645630 88710193 127792306 150124942 177420386 319480765 375312355 443550965 638961530 702857683 750624710 830649989 887101930 975812123 1405715366 1661299978 1951624246 3514288415 4153249945 4879060615 7028576830 7731434513 8306499890 9137149879 9758121230 15462869026 18274299758 38657172565 45685749395 77314345130 91371498790 100508648669 201017297338 502543243345 1005086486690