Search a number
-
+
55328577582355 = 5711226574917049
BaseRepresentation
bin11001001010010001100000…
…01101100111010100010011
321020220100201200222000111021
430211020300031213110103
524223000411330113410
6313401333031500311
714440233505513360
oct1445106015472423
9236810650860437
1055328577582355
11166a17996a5500
126257070827697
1324b46020b078c
14d93cbb671467
1565e353846eda
hex325230367513

55328577582355 has 48 divisors (see below), whose sum is σ = 83435808657600. Its totient is φ = 34477553848320.

The previous prime is 55328577582353. The next prime is 55328577582373.

55328577582355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55328577582355 - 21 = 55328577582353 is a prime.

It is a super-2 number, since 2×553285775823552 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55328577582353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8793871 + ... + 13710919.

It is an arithmetic number, because the mean of its divisors is an integer number (1738246013700).

Almost surely, 255328577582355 is an apocalyptic number.

55328577582355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55328577582355 is a deficient number, since it is larger than the sum of its proper divisors (28107231075245).

55328577582355 is a wasteful number, since it uses less digits than its factorization.

55328577582355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919740 (or 4919729 counting only the distinct ones).

The product of its digits is 1764000000, while the sum is 70.

The spelling of 55328577582355 in words is "fifty-five trillion, three hundred twenty-eight billion, five hundred seventy-seven million, five hundred eighty-two thousand, three hundred fifty-five".

Divisors: 1 5 7 11 35 55 77 121 385 605 847 2657 4235 13285 18599 29227 92995 146135 204589 321497 1022945 1607485 2250479 4917049 11252395 24585245 34419343 54087539 172096715 270437695 378612773 594962929 1893063865 2974814645 4164740503 13064599193 20823702515 65322995965 91452194351 143710591123 457260971755 718552955615 1005974137861 1580816502353 5029870689305 7904082511765 11065715516471 55328577582355