Search a number
-
+
55540487847936 = 2153713193183127
BaseRepresentation
bin11001010000011100001110…
…00011001000000000000000
321021122121201002111212212010
430220032013003020000000
524234433404342113221
6314042540424132520
714461445031165630
oct1450160703100000
9237577632455763
1055540487847936
11167736524a84a3
126290151007140
1324cb5a3aa6380
14da02614926c0
15664b07713c76
hex3283870c8000

55540487847936 has 2048 divisors, whose sum is σ = 202032178790400. Its totient is φ = 13163172986880.

The previous prime is 55540487847899. The next prime is 55540487847979. The reversal of 55540487847936 is 63974878404555.

It is a tau number, because it is divible by the number of its divisors (2048).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437326675905 + ... + 437326676031.

It is an arithmetic number, because the mean of its divisors is an integer number (98648524800).

Almost surely, 255540487847936 is an apocalyptic number.

55540487847936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55540487847936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101016089395200).

55540487847936 is an abundant number, since it is smaller than the sum of its proper divisors (146491690942464).

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

55540487847936 is a wasteful number, since it uses less digits than its factorization.

55540487847936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4064256000, while the sum is 75.

The spelling of 55540487847936 in words is "fifty-five trillion, five hundred forty billion, four hundred eighty-seven million, eight hundred forty-seven thousand, nine hundred thirty-six".