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55144023777 = 35376791541
BaseRepresentation
bin110011010110110101…
…110000011011100001
312021100002012122200000
4303112311300123201
51400413332230102
641155515450213
73661343316423
oct632665603341
9167302178600
1055144023777
1121428400277
12a82b756969
13527a6b728b
1429519a2813
15167b29a01c
hexcd6d706e1

55144023777 has 48 divisors (see below), whose sum is σ = 86102208192. Its totient is φ = 35234844480.

The previous prime is 55144023763. The next prime is 55144023791. The reversal of 55144023777 is 77732044155.

55144023777 is a `hidden beast` number, since 5 + 514 + 40 + 23 + 7 + 77 = 666.

It is an interprime number because it is at equal distance from previous prime (55144023763) and next prime (55144023791).

It is not a de Polignac number, because 55144023777 - 212 = 55144019681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55144023707) 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 47 ways as a sum of consecutive naturals, for example, 556627 + ... + 648167.

It is an arithmetic number, because the mean of its divisors is an integer number (1793796004).

Almost surely, 255144023777 is an apocalyptic number.

It is an amenable number.

55144023777 is a deficient number, since it is larger than the sum of its proper divisors (30958184415).

55144023777 is an equidigital number, since it uses as much as digits as its factorization.

55144023777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91660 (or 91648 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 55144023777 in words is "fifty-five billion, one hundred forty-four million, twenty-three thousand, seven hundred seventy-seven".

Divisors: 1 3 9 27 37 67 81 111 201 243 333 603 999 1809 2479 2997 5427 7437 8991 16281 22311 66933 91541 200799 274623 602397 823869 2471607 3387017 6133247 7414821 10161051 18399741 22244463 30483153 55199223 91449459 165597669 226930139 274348377 496793007 680790417 823045131 1490379021 2042371251 6127113753 18381341259 55144023777