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11253430764936 = 2332416783685513
BaseRepresentation
bin1010001111000010010010…
…1111100100010110001000
31110211211001221100110011200
42203300210233210112020
52433334011233434221
635533431004224200
72241014335143243
oct243604457442610
943754057313150
1011253430764936
11364960a321688
121318ba723b060
1363826a1bac69
142ac95188225a
15147ada7a6426
hexa3c24be4588

11253430764936 has 192 divisors, whose sum is σ = 32069222377920. Its totient is φ = 3561591306240.

The previous prime is 11253430764791. The next prime is 11253430765009. The reversal of 11253430764936 is 63946703435211.

11253430764936 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 4 + 30 + 76 + 493 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 16073316 + ... + 16758828.

It is an arithmetic number, because the mean of its divisors is an integer number (167027199885).

Almost surely, 211253430764936 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 11253430764936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16034611188960).

11253430764936 is an abundant number, since it is smaller than the sum of its proper divisors (20815791612984).

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

11253430764936 is a wasteful number, since it uses less digits than its factorization.

11253430764936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685716 (or 685709 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 11253430764936 in words is "eleven trillion, two hundred fifty-three billion, four hundred thirty million, seven hundred sixty-four thousand, nine hundred thirty-six".