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11059238736 = 24327131994241
BaseRepresentation
bin10100100110010111…
…01001011101010000
31001112201220112111200
422103023221131100
5140122131114421
65025221511200
7541025656350
oct122313513520
931481815450
1011059238736
114765719827
122187872500
131073298c60
1476cad0b60
1544ad91726
hex2932e9750

11059238736 has 240 divisors, whose sum is σ = 38293382400. Its totient is φ = 2901381120.

The previous prime is 11059238669. The next prime is 11059238737. The reversal of 11059238736 is 63783295011.

It is a super-2 number, since 2×110592387362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11059238691 and 11059238700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11059238737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2605576 + ... + 2609816.

It is an arithmetic number, because the mean of its divisors is an integer number (159555760).

Almost surely, 211059238736 is an apocalyptic number.

11059238736 is a gapful number since it is divisible by the number (16) 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 11059238736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146691200).

11059238736 is an abundant number, since it is smaller than the sum of its proper divisors (27234143664).

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

11059238736 is a wasteful number, since it uses less digits than its factorization.

11059238736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11059238736 in words is "eleven billion, fifty-nine million, two hundred thirty-eight thousand, seven hundred thirty-six".