Search a number
-
+
56051526195 = 32574143100931
BaseRepresentation
bin110100001100111011…
…100110101000110011
312100200022211112221200
4310030323212220303
51404243142314240
641425534422243
74023003053160
oct641473465063
9170608745850
1056051526195
1121853697275
12aa43661983
135393709762
1429da313067
1516d0ca9930
hexd0cee6a33

56051526195 has 96 divisors (see below), whose sum is σ = 116389937664. Its totient is φ = 24416985600.

The previous prime is 56051526191. The next prime is 56051526197. The reversal of 56051526195 is 59162515065.

56051526195 is a `hidden beast` number, since 5 + 60 + 51 + 526 + 19 + 5 = 666.

It is not a de Polignac number, because 56051526195 - 22 = 56051526191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 56051526195.

It is not an unprimeable number, because it can be changed into a prime (56051526191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 504880 + ... + 605810.

It is an arithmetic number, because the mean of its divisors is an integer number (1212395184).

Almost surely, 256051526195 is an apocalyptic number.

56051526195 is an abundant number, since it is smaller than the sum of its proper divisors (60338411469).

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

56051526195 is a wasteful number, since it uses less digits than its factorization.

56051526195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101033 (or 101030 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 56051526195 in words is "fifty-six billion, fifty-one million, five hundred twenty-six thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 41 43 45 63 105 123 129 205 215 287 301 315 369 387 615 645 861 903 1435 1505 1763 1845 1935 2583 2709 4305 4515 5289 8815 12341 12915 13545 15867 26445 37023 61705 79335 100931 111069 185115 302793 504655 555345 706517 908379 1513965 2119551 3532585 4138171 4340033 4541895 6358653 10597755 12414513 13020099 20690855 21700165 28967197 30380231 31793265 37243539 39060297 62072565 65100495 86901591 91140693 144835985 151901155 177941353 186217695 195301485 260704773 273422079 434507955 455703465 533824059 889706765 1245589471 1303523865 1367110395 1601472177 2669120295 3736768413 6227947355 8007360885 11210305239 18683842065 56051526195