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11490336000 = 283453111331
BaseRepresentation
bin10101011001110000…
…01001110100000000
31002122210002112210000
422230320021310000
5142013011223000
65140101440000
7554512146603
oct125470116400
932583075700
1011490336000
114966aa4560
122288110000
1311116a7ab0
147b006c33a
15473b49000
hex2ace09d00

11490336000 has 1440 divisors, whose sum is σ = 51854939136. Its totient is φ = 2488320000.

The previous prime is 11490335993. The next prime is 11490336037. The reversal of 11490336000 is 63309411.

11490336000 is a `hidden beast` number, since 11 + 49 + 0 + 3 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 370655985 + ... + 370656015.

Almost surely, 211490336000 is an apocalyptic number.

11490336000 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 11490336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25927469568).

11490336000 is an abundant number, since it is smaller than the sum of its proper divisors (40364603136).

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

11490336000 is a wasteful number, since it uses less digits than its factorization.

11490336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 11490336000 in words is "eleven billion, four hundred ninety million, three hundred thirty-six thousand".