Search a number
-
+
55060589445120 = 22137574
BaseRepresentation
bin11001000010011110010101…
…11000000000000000000000
321012221202000011000010000000
430201033022320000000000
524204103041344220440
6313034252520000000
714411665510110000
oct1441171270000000
9235852004003000
1055060589445120
11165a9079351536
126213140000000
1324952643b59cc
14d84d37c40000
156573bb719730
hex3213cae00000

55060589445120 has 1760 divisors, whose sum is σ = 231205416395040. Its totient is φ = 12585277587456.

The previous prime is 55060589445107. The next prime is 55060589445131. The reversal of 55060589445120 is 2154498506055.

55060589445120 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 0 + 5 + 89 + 44 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 7865798492157 + ... + 7865798492163.

Almost surely, 255060589445120 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 55060589445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115602708197520).

55060589445120 is an abundant number, since it is smaller than the sum of its proper divisors (176144826949920).

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

55060589445120 is an frugal number, since it uses more digits than its factorization.

55060589445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 55060589445120 in words is "fifty-five trillion, sixty billion, five hundred eighty-nine million, four hundred forty-five thousand, one hundred twenty".