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56255766105 = 35711192563489
BaseRepresentation
bin110100011001000110…
…101101111001011001
312101012120011000102210
4310121012231321121
51410202434003410
641502112145333
74031033056620
oct643106557131
9171176130383
1056255766105
1121948a05790
12aa9bb38249
1353c6b19886
142a194ba6b7
1516e3ba0220
hexd191ade59

56255766105 has 64 divisors (see below), whose sum is σ = 118125619200. Its totient is φ = 22148536320.

The previous prime is 56255766101. The next prime is 56255766113. The reversal of 56255766105 is 50166755265.

It is a happy number.

It is not a de Polignac number, because 56255766105 - 22 = 56255766101 is a prime.

It is a super-2 number, since 2×562557661052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56255766101) 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 63 ways as a sum of consecutive naturals, for example, 1259800 + ... + 1303689.

It is an arithmetic number, because the mean of its divisors is an integer number (1845712800).

Almost surely, 256255766105 is an apocalyptic number.

56255766105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56255766105 is an abundant number, since it is smaller than the sum of its proper divisors (61869853095).

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

56255766105 is a wasteful number, since it uses less digits than its factorization.

56255766105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563534.

The product of its (nonzero) digits is 1890000, while the sum is 48.

The spelling of 56255766105 in words is "fifty-six billion, two hundred fifty-five million, seven hundred sixty-six thousand, one hundred five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1995 3135 4389 7315 21945 2563489 7690467 12817445 17944423 28198379 38452335 48706291 53833269 84595137 89722115 140991895 146118873 197388653 243531455 269166345 340944037 422975685 535769201 592165959 730594365 986943265 1022832111 1607307603 1704720185 2678846005 2960829795 3750384407 5114160555 8036538015 11251153221 18751922035 56255766105