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200011095076 = 2213210321672
BaseRepresentation
bin1011101001000110010…
…1110001110000100100
3201010021010011101002011
42322101211301300210
511234110320020301
6231514523524004
720310314154112
oct2722145616044
9633233141064
10200011095076
117790805a091
123291b389604
1315b26705300
14997576cab2
155309416a51
hex2e91971c24

200011095076 has 81 divisors (see below), whose sum is σ = 385036115121. Its totient is φ = 90869167584.

The previous prime is 200011095059. The next prime is 200011095121. The reversal of 200011095076 is 670590110002.

The square root of 200011095076 is 447226.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29587440100 + 170423654976 = 172010^2 + 412824^2 .

It is a super-2 number, since 2×2000110950762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 1197671145 + ... + 1197671311.

Almost surely, 2200011095076 is an apocalyptic number.

200011095076 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

200011095076 is the 447226-th square number.

It is an amenable number.

200011095076 is a deficient number, since it is larger than the sum of its proper divisors (185025020045).

200011095076 is a wasteful number, since it uses less digits than its factorization.

200011095076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 200011095076 in words is "two hundred billion, eleven million, ninety-five thousand, seventy-six".

Divisors: 1 2 4 13 26 52 103 167 169 206 334 338 412 668 676 1339 2171 2678 4342 5356 8684 10609 17201 17407 21218 27889 28223 34402 34814 42436 55778 56446 68804 69628 111556 112892 137917 223613 275834 362557 447226 551668 725114 894452 1450228 1771703 1792921 2872567 2906969 3543406 3585842 4713241 5745134 5813938 7086812 7171684 9426482 11490268 11627876 18852964 23032139 37343371 46064278 74686742 92128556 149373484 295874401 299417807 485463823 591748802 598835614 970927646 1183497604 1197671228 1941855292 3846367213 7692734426 15385468852 50002773769 100005547538 200011095076