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11336429520 = 2434513235851
BaseRepresentation
bin10101000111011010…
…00010111111010000
31002021001111021210000
422203231002333100
5141204111221040
65112523010000
7550633026633
oct124355027720
932231437700
1011336429520
114898134319
122244669900
1310b883ba80
14797847c1a
15465397130
hex2a3b42fd0

11336429520 has 400 divisors, whose sum is σ = 44252917632. Its totient is φ = 2668723200.

The previous prime is 11336429387. The next prime is 11336429539. The reversal of 11336429520 is 2592463311.

11336429520 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 642 + 9 + 5 + 2 + 0 = 666.

11336429520 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 (36).

It is a zygodrome in base 12.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1934595 + ... + 1940445.

Almost surely, 211336429520 is an apocalyptic number.

11336429520 is a gapful number since it is divisible by the number (10) 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 11336429520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126458816).

11336429520 is an abundant number, since it is smaller than the sum of its proper divisors (32916488112).

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

11336429520 is a wasteful number, since it uses less digits than its factorization.

11336429520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 113364 and 29520, that added together give a square (142884 = 3782).

The spelling of 11336429520 in words is "eleven billion, three hundred thirty-six million, four hundred twenty-nine thousand, five hundred twenty".