Search a number
-
+
55148467284 = 223267179127733
BaseRepresentation
bin110011010111000110…
…101101010001010100
312021100101120102000100
4303113012231101110
51400421001423114
641200155014100
73661426144311
oct632706552124
9167311512010
1055148467284
112142a965799
12a83113a330
13527b5b1981
1429523dbd08
15167b876909
hexcd71ad454

55148467284 has 72 divisors (see below), whose sum is σ = 142275238560. Its totient is φ = 18007146432.

The previous prime is 55148467277. The next prime is 55148467289. The reversal of 55148467284 is 48276484155.

55148467284 is a `hidden beast` number, since 5 + 514 + 8 + 46 + 7 + 2 + 84 = 666.

55148467284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55148467284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55148467289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367882 + ... + 495614.

It is an arithmetic number, because the mean of its divisors is an integer number (1976044980).

Almost surely, 255148467284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55148467284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71137619280).

55148467284 is an abundant number, since it is smaller than the sum of its proper divisors (87126771276).

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

55148467284 is a wasteful number, since it uses less digits than its factorization.

55148467284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127989 (or 127984 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 55148467284 in words is "fifty-five billion, one hundred forty-eight million, four hundred sixty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 179 201 268 358 402 537 603 716 804 1074 1206 1611 2148 2412 3222 6444 11993 23986 35979 47972 71958 107937 127733 143916 215874 255466 383199 431748 510932 766398 1149597 1532796 2299194 4598388 8558111 17116222 22864207 25674333 34232444 45728414 51348666 68592621 77022999 91456828 102697332 137185242 154045998 205777863 274370484 308091996 411555726 823111452 1531901869 3063803738 4595705607 6127607476 9191411214 13787116821 18382822428 27574233642 55148467284