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9049744440 = 2334511318191
BaseRepresentation
bin10000110110110100…
…00010010000111000
3212100200200122120000
420123122002100320
5122013213310230
64053555233000
7440155362402
oct103332022070
925320618500
109049744440
113924387a40
1219068a8760
13b12b79289
1461bc83b72
1537e755b60
hex21b682438

9049744440 has 320 divisors, whose sum is σ = 34256977920. Its totient is φ = 2122848000.

The previous prime is 9049744399. The next prime is 9049744469. The reversal of 9049744440 is 444479409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1100745 + ... + 1108935.

It is an arithmetic number, because the mean of its divisors is an integer number (107053056).

Almost surely, 29049744440 is an apocalyptic number.

9049744440 is a gapful number since it is divisible by the number (90) 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 9049744440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128488960).

9049744440 is an abundant number, since it is smaller than the sum of its proper divisors (25207233480).

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

9049744440 is a wasteful number, since it uses less digits than its factorization.

9049744440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 9049744440 is about 95130.1447491803. The cubic root of 9049744440 is about 2083.9091027412.

The spelling of 9049744440 in words is "nine billion, forty-nine million, seven hundred forty-four thousand, four hundred forty".