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11418340608 = 2835312191
BaseRepresentation
bin10101010001001011…
…00000110100000000
31002110202121210200000
422220211200310000
5141341043344413
65125010400000
7552646202523
oct125045406400
932422553600
1011418340608
11492a3a0334
122267b90000
1310cc7bac7c
147a468abba
1546c677073
hex2a8960d00

11418340608 has 324 divisors, whose sum is σ = 35462778624. Its totient is φ = 3664051200.

The previous prime is 11418340601. The next prime is 11418340613. The reversal of 11418340608 is 80604381411.

It is a happy number.

11418340608 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 3 + 40 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11418340601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59781793 + ... + 59781983.

Almost surely, 211418340608 is an apocalyptic number.

11418340608 is a gapful number since it is divisible by the number (18) 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 11418340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731389312).

11418340608 is an abundant number, since it is smaller than the sum of its proper divisors (24044438016).

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

11418340608 is an frugal number, since it uses more digits than its factorization.

11418340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11418340608 in words is "eleven billion, four hundred eighteen million, three hundred forty thousand, six hundred eight".