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55113612678 = 233679721619
BaseRepresentation
bin110011010101000001…
…101111110110000110
312021020221222121111000
4303111001233312012
51400333041101203
641152511554130
73660523656345
oct632501576606
9167227877430
1055113612678
1121412219a33
12a82152b946
1352742ca147
14294b927b5c
15167878e4a3
hexcd506fd86

55113612678 has 96 divisors (see below), whose sum is σ = 125674934400. Its totient is φ = 17899377408.

The previous prime is 55113612661. The next prime is 55113612691. The reversal of 55113612678 is 87621631155.

55113612678 is a `hidden beast` number, since 5 + 511 + 3 + 6 + 126 + 7 + 8 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34040953 + ... + 34042571.

It is an arithmetic number, because the mean of its divisors is an integer number (1309113900).

Almost surely, 255113612678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55113612678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62837467200).

55113612678 is an abundant number, since it is smaller than the sum of its proper divisors (70561321722).

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

55113612678 is a wasteful number, since it uses less digits than its factorization.

55113612678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1788 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 55113612678 in words is "fifty-five billion, one hundred thirteen million, six hundred twelve thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 67 97 134 194 201 291 402 582 603 873 1206 1619 1746 1809 2619 3238 3618 4857 5238 6499 9409 9714 12998 14571 18818 19497 28227 29142 38994 43713 56454 58491 84681 87426 108473 116982 157043 169362 175473 216946 254043 314086 325419 350946 471129 508086 630403 650838 942258 976257 1260806 1413387 1891209 1952514 2826774 2928771 3782418 4240161 5673627 5857542 8480322 10521881 11347254 15233171 17020881 21043762 30466342 31565643 34041762 45699513 63131286 91399026 94696929 137098539 189393858 274197078 284090787 411295617 568181574 822591234 1020622457 2041244914 3061867371 6123734742 9185602113 18371204226 27556806339 55113612678