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11261413152 = 253511312137
BaseRepresentation
bin10100111110011101…
…11000011100100000
31002001211100001200000
422133032320130200
5141030410210102
65101243100000
7546032301213
oct123716703440
932054301600
1011261413152
114859857420
122223511600
1310a6134ba2
1478b8bb77a
1545d9ca01c
hex29f3b8720

11261413152 has 432 divisors, whose sum is σ = 37709564256. Its totient is φ = 3278361600.

The previous prime is 11261413127. The next prime is 11261413193. The reversal of 11261413152 is 25131416211.

11261413152 is a `hidden beast` number, since 1 + 12 + 614 + 1 + 31 + 5 + 2 = 666.

11261413152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82200028 + ... + 82200164.

It is an arithmetic number, because the mean of its divisors is an integer number (87290658).

Almost surely, 211261413152 is an apocalyptic number.

11261413152 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 11261413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18854782128).

11261413152 is an abundant number, since it is smaller than the sum of its proper divisors (26448151104).

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

11261413152 is a wasteful number, since it uses less digits than its factorization.

11261413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 184 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 11261413152 its reverse (25131416211), we get a palindrome (36392829363).

The spelling of 11261413152 in words is "eleven billion, two hundred sixty-one million, four hundred thirteen thousand, one hundred fifty-two".