Search a number
-
+
1389704499072 = 273237254312821
BaseRepresentation
bin10100001110010000110…
…101111100111110000000
311220212001220012011021200
4110032100311330332000
5140232103322432242
62542231010221200
7202255113224241
oct24162065747600
94825056164250
101389704499072
11496408a6203a
121a5401284800
13a10829356a6
144b395124cc8
152623938104c
hex14390d7cf80

1389704499072 has 192 divisors, whose sum is σ = 4109036592960. Its totient is φ = 450502594560.

The previous prime is 1389704499049. The next prime is 1389704499119. The reversal of 1389704499072 is 2709944079831.

1389704499072 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 70 + 4 + 499 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13897044990722 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 108386422 + ... + 108399242.

It is an arithmetic number, because the mean of its divisors is an integer number (21401232255).

Almost surely, 21389704499072 is an apocalyptic number.

1389704499072 is a gapful number since it is divisible by the number (12) 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 1389704499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054518296480).

1389704499072 is an abundant number, since it is smaller than the sum of its proper divisors (2719332093888).

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

1389704499072 is a wasteful number, since it uses less digits than its factorization.

1389704499072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421 (or 15406 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1389704499072 in words is "one trillion, three hundred eighty-nine billion, seven hundred four million, four hundred ninety-nine thousand, seventy-two".