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10996682125 = 5311132371279
BaseRepresentation
bin10100011110111010…
…00000110110001101
31001101101012022222011
422033131000312031
5140010122312000
65015105021221
7536336153512
oct121735006615
931341168864
1010996682125
114733382050
12216a924811
131063335400
14764689309
154456362ba
hex28f740d8d

10996682125 has 96 divisors (see below), whose sum is σ = 16662896640. Its totient is φ = 7177248000.

The previous prime is 10996682107. The next prime is 10996682131. The reversal of 10996682125 is 52128669901.

10996682125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10996682125 - 25 = 10996682093 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 8597236 + ... + 8598514.

It is an arithmetic number, because the mean of its divisors is an integer number (173571840).

Almost surely, 210996682125 is an apocalyptic number.

It is an amenable number.

10996682125 is a deficient number, since it is larger than the sum of its proper divisors (5666214515).

10996682125 is a wasteful number, since it uses less digits than its factorization.

10996682125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 10996682125 in words is "ten billion, nine hundred ninety-six million, six hundred eighty-two thousand, one hundred twenty-five".

Divisors: 1 5 11 13 25 37 55 65 125 143 169 185 275 325 407 481 715 845 925 1279 1375 1625 1859 2035 2405 3575 4225 4625 5291 6253 6395 9295 10175 12025 14069 16627 17875 21125 26455 31265 31975 46475 47323 50875 60125 68783 70345 83135 132275 156325 159875 182897 216151 232375 236615 343915 351725 415675 520553 615199 661375 781625 914485 1080755 1183075 1719575 1758625 2078375 2377661 2602765 3075995 4572425 5403775 5915375 6767189 7997587 8597875 11888305 13013825 15379975 22862125 27018875 33835945 39987935 59441525 65069125 76899875 87973457 169179725 199939675 297207625 439867285 845898625 999698375 2199336425 10996682125