Search a number
-
+
11263301999424 = 263437478315053
BaseRepresentation
bin1010001111100111000100…
…0111010101101101000000
31110212202112212211010020000
42203321301013111231000
52434014220302440144
635542142311120000
72241514060225446
oct243716107255500
943782485733200
1011263301999424
113652815388212
12131aaa1073000
13639181302807
142ad20a886b96
15147eb71cb769
hexa3e711d5b40

11263301999424 has 560 divisors, whose sum is σ = 35444195474688. Its totient is φ = 3531930365952.

The previous prime is 11263301999413. The next prime is 11263301999441. The reversal of 11263301999424 is 42499910336211.

11263301999424 is a `hidden beast` number, since 1 + 1 + 26 + 3 + 3 + 0 + 199 + 9 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 748235482 + ... + 748250534.

Almost surely, 211263301999424 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 11263301999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17722097737344).

11263301999424 is an abundant number, since it is smaller than the sum of its proper divisors (24180893475264).

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

11263301999424 is a wasteful number, since it uses less digits than its factorization.

11263301999424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15244 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 11263301999424 in words is "eleven trillion, two hundred sixty-three billion, three hundred one million, nine hundred ninety-nine thousand, four hundred twenty-four".