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10061156006 = 21129101193809
BaseRepresentation
bin10010101111011000…
…10000111010100110
3221222011211200101122
421113230100322212
5131101123443011
64342205253542
7504216262226
oct112754207246
927864750348
1010061156006
1142a3295470
121b495642b2
13c44580665
146b6322086
153dd43d3db
hex257b10ea6

10061156006 has 64 divisors (see below), whose sum is σ = 17310542400. Its totient is φ = 4343808000.

The previous prime is 10061155999. The next prime is 10061156099. The reversal of 10061156006 is 60065116001.

10061156006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 12436130 + ... + 12436938.

It is an arithmetic number, because the mean of its divisors is an integer number (270477225).

Almost surely, 210061156006 is an apocalyptic number.

10061156006 is a deficient number, since it is larger than the sum of its proper divisors (7249386394).

10061156006 is a wasteful number, since it uses less digits than its factorization.

10061156006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 10061156006 in words is "ten billion, sixty-one million, one hundred fifty-six thousand, six".

Divisors: 1 2 11 22 29 58 101 193 202 319 386 638 809 1111 1618 2123 2222 2929 4246 5597 5858 8899 11194 17798 19493 23461 32219 38986 46922 61567 64438 81709 123134 156137 163418 214423 258071 312274 428846 516142 565297 898799 1130594 1717507 1797598 2369561 3435014 4527973 4739122 6218267 9055946 12436534 15769837 26065171 31539674 49807703 52130342 99615406 173468207 346936414 457325273 914650546 5030578003 10061156006