Search a number
-
+
1354551069312 = 273271132914827
BaseRepresentation
bin10011101101100001100…
…010010000101010000000
311210111022222210220021200
4103231201202100222000
5134143110033204222
62514134442221200
7166602016054650
oct23554142205200
94714288726250
101354551069312
11482509846a51
1219a6304b4800
139a96c9b198c
14497bc4ba360
152537d0e4eac
hex13b61890a80

1354551069312 has 192 divisors, whose sum is σ = 4455392884800. Its totient is φ = 386954330112.

The previous prime is 1354551069257. The next prime is 1354551069323. The reversal of 1354551069312 is 2139601554531.

1354551069312 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 551 + 0 + 6 + 93 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91349643 + ... + 91364469.

It is an arithmetic number, because the mean of its divisors is an integer number (23205171275).

Almost surely, 21354551069312 is an apocalyptic number.

1354551069312 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 1354551069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227696442400).

1354551069312 is an abundant number, since it is smaller than the sum of its proper divisors (3100841815488).

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

1354551069312 is a wasteful number, since it uses less digits than its factorization.

1354551069312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26183 (or 26168 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 1354551069312 in words is "one trillion, three hundred fifty-four billion, five hundred fifty-one million, sixty-nine thousand, three hundred twelve".