Search a number
-
+
55582428555 = 335795211667
BaseRepresentation
bin110011110000111110…
…001000110110001011
312022110122010220222000
4303300332020312023
51402313100203210
641311220202043
74005245563443
oct636076106613
9168418126860
1055582428555
1121632917275
12a932539323
13531a4842a4
142993cc3123
1516a49e7ac0
hexcf0f88d8b

55582428555 has 32 divisors (see below), whose sum is σ = 100064025600. Its totient is φ = 29268716256.

The previous prime is 55582428547. The next prime is 55582428571.

It is a happy number.

55582428555 is a `hidden beast` number, since 5 + 5 + 5 + 82 + 4 + 2 + 8 + 555 = 666.

55582428555 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55582428555 - 23 = 55582428547 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 31 ways as a sum of consecutive naturals, for example, 2595169 + ... + 2616498.

It is an arithmetic number, because the mean of its divisors is an integer number (3127000800).

Almost surely, 255582428555 is an apocalyptic number.

55582428555 is a deficient number, since it is larger than the sum of its proper divisors (44481597045).

55582428555 is a wasteful number, since it uses less digits than its factorization.

55582428555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5211760 (or 5211754 counting only the distinct ones).

The product of its digits is 16000000, while the sum is 54.

The spelling of 55582428555 in words is "fifty-five billion, five hundred eighty-two million, four hundred twenty-eight thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 79 135 237 395 711 1185 2133 3555 10665 5211667 15635001 26058335 46905003 78175005 140715009 234525015 411721693 703575045 1235165079 2058608465 3705495237 6175825395 11116485711 18527476185 55582428555