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9952559155 = 571132953139
BaseRepresentation
bin10010100010011100…
…00000000000110011
3221200121111101112001
421101032000000303
5130340323343110
64323325514431
7501430233310
oct112116000063
927617441461
109952559155
114247a62000
121b19112a17
13c27c19b76
146a5b33d07
153d3b3b63a
hex251380033

9952559155 has 128 divisors (see below), whose sum is σ = 15937689600. Its totient is φ = 5834949120.

The previous prime is 9952559147. The next prime is 9952559167. The reversal of 9952559155 is 5519552599.

9952559155 is a nontrivial binomial coefficient, being equal to C(141086, 2).

It is not a de Polignac number, because 9952559155 - 23 = 9952559147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a junction number, because it is equal to n+sod(n) for n = 9952559096 and 9952559105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71601076 + ... + 71601214.

It is an arithmetic number, because the mean of its divisors is an integer number (124513200).

Almost surely, 29952559155 is an apocalyptic number.

9952559155 is the 141085-th triangular number and also the 70543-rd hexagonal number.

9952559155 is the 47029-th centered nonagonal number.

9952559155 is a deficient number, since it is larger than the sum of its proper divisors (5985130445).

9952559155 is a wasteful number, since it uses less digits than its factorization.

9952559155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its digits is 4556250, while the sum is 55.

The square root of 9952559155 is about 99762.5137764682. The cubic root of 9952559155 is about 2151.0223481103.

The spelling of 9952559155 in words is "nine billion, nine hundred fifty-two million, five hundred fifty-nine thousand, one hundred fifty-five".

Divisors: 1 5 7 11 29 35 53 55 77 121 139 145 203 265 319 371 385 583 605 695 847 973 1015 1331 1529 1537 1595 1855 2233 2915 3509 4031 4081 4235 4865 6413 6655 7367 7645 7685 9317 10703 10759 11165 16819 16907 17545 20155 20405 24563 28217 32065 36835 38599 44341 44891 46585 51569 53515 53795 70543 81037 84095 84535 117733 118349 122815 141085 185009 185977 192995 213643 221705 224455 257845 270193 310387 352715 405185 487751 493801 567259 588665 591745 891407 925045 929885 1068215 1295063 1301839 1350965 1495501 1551935 2045747 2350073 2438755 2469005 2836295 3414257 4457035 5365261 6239849 6475315 6509195 7477505 9805477 10228735 11750365 14320229 16450511 17071285 25850803 26826305 31199245 37556827 49027385 68638339 71601145 82252555 129254015 180955621 187784135 284358833 343191695 904778105 1421794165 1990511831 9952559155