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11361222432 = 253377325733
BaseRepresentation
bin10101001010010111…
…00111111100100000
31002022210010220021000
422211023213330200
5141231433104212
65115210232000
7551353540320
oct124513477440
932283126230
1011361222432
11490012862a
122250a25600
1310c0a0c931
1479ac5d280
154676431dc
hex2a52e7f20

11361222432 has 192 divisors, whose sum is σ = 38391010560. Its totient is φ = 3201472512.

The previous prime is 11361222421. The next prime is 11361222541. The reversal of 11361222432 is 23422216311.

11361222432 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 1 + 222 + 432 = 666.

11361222432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11361222396 and 11361222405.

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 31 ways as a sum of consecutive naturals, for example, 428638 + ... + 454370.

It is an arithmetic number, because the mean of its divisors is an integer number (199953180).

Almost surely, 211361222432 is an apocalyptic number.

11361222432 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 11361222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195505280).

11361222432 is an abundant number, since it is smaller than the sum of its proper divisors (27029788128).

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

11361222432 is a wasteful number, since it uses less digits than its factorization.

11361222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25832 (or 25818 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11361222432 its reverse (23422216311), we get a palindrome (34783438743).

The spelling of 11361222432 in words is "eleven billion, three hundred sixty-one million, two hundred twenty-two thousand, four hundred thirty-two".