Search a number
-
+
23062468131072 = 2833171128717389
BaseRepresentation
bin1010011111001101001100…
…01110000111100100000000
310000122202021001112122012000
411033212212032013210000
511010323413320143242
6121014430202304000
74600131313441056
oct517464616074400
9100582231478160
1023062468131072
117391813028217
1227057b1ab8000
13cb3a209c26b6
1459a32d7201d6
1529ed93860a4c
hex14f9a6387900

23062468131072 has 288 divisors, whose sum is σ = 72222077894400. Its totient is φ = 7234227044352.

The previous prime is 23062468130981. The next prime is 23062468131083. The reversal of 23062468131072 is 27013186426032.

23062468131072 is a `hidden beast` number, since 2 + 3 + 0 + 624 + 6 + 8 + 1 + 3 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326258954 + ... + 1326276342.

It is an arithmetic number, because the mean of its divisors is an integer number (250771103800).

Almost surely, 223062468131072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23062468131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36111038947200).

23062468131072 is an abundant number, since it is smaller than the sum of its proper divisors (49159609763328).

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

23062468131072 is a wasteful number, since it uses less digits than its factorization.

23062468131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28718 (or 28698 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 23062468131072 in words is "twenty-three trillion, sixty-two billion, four hundred sixty-eight million, one hundred thirty-one thousand, seventy-two".