Search a number
-
+
55048524313188 = 223741891297138469
BaseRepresentation
bin11001000010000111110111…
…01111001011001001100100
321012220120212022022220102210
430201003323233023021210
524203403334211010223
6313024535402203420
714411060515143150
oct1441037357131144
9235816768286383
1055048524313188
11165a3a4795431a
1262109334b3570
1324940908c83a3
14d8451170a060
15656e123d0893
hex3210fbbcb264

55048524313188 has 192 divisors, whose sum is σ = 152184423283200. Its totient is φ = 15160318525440.

The previous prime is 55048524313171. The next prime is 55048524313217. The reversal of 55048524313188 is 88131342584055.

55048524313188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×550485243131882 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397482018 + ... + 397620486.

It is an arithmetic number, because the mean of its divisors is an integer number (792627204600).

Almost surely, 255048524313188 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 55048524313188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76092211641600).

55048524313188 is an abundant number, since it is smaller than the sum of its proper divisors (97135898970012).

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

55048524313188 is a wasteful number, since it uses less digits than its factorization.

55048524313188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139910 (or 139908 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 57.

The spelling of 55048524313188 in words is "fifty-five trillion, forty-eight billion, five hundred twenty-four million, three hundred thirteen thousand, one hundred eighty-eight".