Search a number
-
+
2148033306084 = 223179002775507
BaseRepresentation
bin11111010000100000110…
…000110001110111100100
321121100110010121221222020
4133100200300301313210
5240143133011243314
64322443132303140
7311122160562561
oct37204060616744
97540403557866
102148033306084
11758a80890766
122a8378011ab0
1312773552b203
1475d72d75868
153ad1e0c7da9
hex1f420c31de4

2148033306084 has 12 divisors (see below), whose sum is σ = 5012077714224. Its totient is φ = 716011102024.

The previous prime is 2148033306077. The next prime is 2148033306113. The reversal of 2148033306084 is 4806033308412.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×21480333060843 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89501387742 + ... + 89501387765.

It is an arithmetic number, because the mean of its divisors is an integer number (417673142852).

Almost surely, 22148033306084 is an apocalyptic number.

It is an amenable number.

2148033306084 is an abundant number, since it is smaller than the sum of its proper divisors (2864044408140).

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

2148033306084 is a wasteful number, since it uses less digits than its factorization.

2148033306084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179002775514 (or 179002775512 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 2148033306084 in words is "two trillion, one hundred forty-eight billion, thirty-three million, three hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 12 179002775507 358005551014 537008326521 716011102028 1074016653042 2148033306084