Search a number
-
+
5008544458005 = 3511220631337629
BaseRepresentation
bin100100011100010010010…
…0000110110010100010101
3122201210221002000120021210
41020320210200312110111
51124024444340124010
614352521001532033
71024566254312334
oct110704440662425
918653832016253
105008544458005
111661125857300
1268a8334a4019
132a43c435718a
141345b4499d1b
158a43c917b20
hex48e24836515

5008544458005 has 48 divisors (see below), whose sum is σ = 8812691677440. Its totient is φ = 2427206263680.

The previous prime is 5008544457953. The next prime is 5008544458009.

5008544458005 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5008544458005 - 27 = 5008544457877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008544458009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3075531 + ... + 4413159.

It is an arithmetic number, because the mean of its divisors is an integer number (183597743280).

Almost surely, 25008544458005 is an apocalyptic number.

5008544458005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5008544458005 is a deficient number, since it is larger than the sum of its proper divisors (3804147219435).

5008544458005 is a wasteful number, since it uses less digits than its factorization.

5008544458005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339722 (or 1339711 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 48.

The spelling of 5008544458005 in words is "five trillion, eight billion, five hundred forty-four million, four hundred fifty-eight thousand, five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 2063 6189 10315 22693 30945 68079 113465 249623 340395 748869 1248115 1337629 3744345 4012887 6688145 14713919 20064435 44141757 73569595 161853109 220708785 485559327 809265545 2427796635 2759528627 8278585881 13797643135 30354814897 41392929405 91064444691 151774074485 333902963867 455322223455 1001708891601 1669514819335 5008544458005