Search a number
-
+
2131638060384 = 2536713053829
BaseRepresentation
bin11111000001001111100…
…001111000010101100000
321112210010112002012000000
4133001033201320111200
5234411043320413014
64311132213300000
7310001656361460
oct37011741702540
97483115065000
102131638060384
11752028127a28
122a5161334600
131260219096b1
1475259719ba0
153a6aea5c509
hex1f04f878560

2131638060384 has 168 divisors, whose sum is σ = 7190989439760. Its totient is φ = 609039399168.

The previous prime is 2131638060373. The next prime is 2131638060401. The reversal of 2131638060384 is 4830608361312.

2131638060384 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 6 + 38 + 0 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 6363619 + ... + 6690210.

It is an arithmetic number, because the mean of its divisors is an integer number (42803508570).

Almost surely, 22131638060384 is an apocalyptic number.

2131638060384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2131638060384 is an abundant number, since it is smaller than the sum of its proper divisors (5059351379376).

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

2131638060384 is an equidigital number, since it uses as much as digits as its factorization.

2131638060384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053864 (or 13053841 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2131638060384 in words is "two trillion, one hundred thirty-one billion, six hundred thirty-eight million, sixty thousand, three hundred eighty-four".