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55542624555 = 35112374431867
BaseRepresentation
bin110011101110100110…
…010011000100101011
312022100212020200010210
4303232212103010223
51402222402441210
641303235112203
74004253343005
oct635646230453
9168325220123
1055542624555
11216123aaa00
12a921142663
135312158a22
14298c8c1375
1516a1283e20
hexcee99312b

55542624555 has 96 divisors (see below), whose sum is σ = 100601932032. Its totient is φ = 26128776960.

The previous prime is 55542624503. The next prime is 55542624623.

It is a happy number.

55542624555 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55542624555 - 27 = 55542624427 is a prime.

It is an unprimeable number.

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, 29748732 + ... + 29750598.

It is an arithmetic number, because the mean of its divisors is an integer number (1047936792).

Almost surely, 255542624555 is an apocalyptic number.

55542624555 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55542624555 is a deficient number, since it is larger than the sum of its proper divisors (45059307477).

55542624555 is a wasteful number, since it uses less digits than its factorization.

55542624555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its digits is 6000000, while the sum is 48.

The spelling of 55542624555 in words is "fifty-five billion, five hundred forty-two million, six hundred twenty-four thousand, five hundred fifty-five".

Divisors: 1 3 5 11 15 33 37 55 111 121 165 185 363 407 443 555 605 1221 1329 1815 1867 2035 2215 4477 4873 5601 6105 6645 9335 13431 14619 16391 20537 22385 24365 28005 49173 53603 61611 67155 69079 73095 81955 102685 160809 180301 207237 225907 245865 268015 308055 345395 540903 677721 759869 804045 827081 901505 1036185 1129535 1983311 2279607 2481243 2704515 3388605 3799345 4135405 5949933 8358559 9097891 9916555 11398035 12406215 25075677 27293673 29749665 30601997 41792795 45489455 91805991 100076801 125378385 136468365 153009985 300230403 336621967 459029955 500384005 1009865901 1501152015 1683109835 3702841637 5049329505 11108524911 18514208185 55542624555