Search a number
-
+
11253423676032 = 2732103670314149
BaseRepresentation
bin1010001111000010010001…
…0100100001101010000000
31110211211001110000022000200
42203300210110201222000
52433334002430113112
635533430152245200
72241014220660006
oct243604424415200
943754043008020
1011253423676032
11364960631a68a
121318ba49a0800
136382688a8445
142ac950958a76
15147ad9d55cdc
hexa3c24521a80

11253423676032 has 192 divisors, whose sum is σ = 32704485216000. Its totient is φ = 3713905686528.

The previous prime is 11253423676021. The next prime is 11253423676051. The reversal of 11253423676032 is 23067632435211.

It is a happy number.

11253423676032 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 4 + 2 + 36 + 7 + 603 + 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, 795344094 + ... + 795358242.

It is an arithmetic number, because the mean of its divisors is an integer number (170335860500).

Almost surely, 211253423676032 is an apocalyptic number.

11253423676032 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 11253423676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352242608000).

11253423676032 is an abundant number, since it is smaller than the sum of its proper divisors (21451061539968).

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

11253423676032 is a wasteful number, since it uses less digits than its factorization.

11253423676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20975 (or 20960 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 11253423676032 in words is "eleven trillion, two hundred fifty-three billion, four hundred twenty-three million, six hundred seventy-six thousand, thirty-two".