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11283464640 = 2635719671319
BaseRepresentation
bin10101000001000110…
…00000000111000000
31002010100211101121210
422200203000013000
5141102031332030
65103351450120
7546420603240
oct124043000700
932110741553
1011283464640
114870248a98
12222a986940
1310aa885cc6
147907bbb20
154608d3bb0
hex2a08c01c0

11283464640 has 448 divisors, whose sum is σ = 43774156800. Its totient is φ = 2405044224.

The previous prime is 11283464639. The next prime is 11283464677. The reversal of 11283464640 is 4646438211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8553901 + ... + 8555219.

Almost surely, 211283464640 is an apocalyptic number.

11283464640 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 11283464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21887078400).

11283464640 is an abundant number, since it is smaller than the sum of its proper divisors (32490692160).

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

11283464640 is a wasteful number, since it uses less digits than its factorization.

11283464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 11283464640 in words is "eleven billion, two hundred eighty-three million, four hundred sixty-four thousand, six hundred forty".