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8973444480 = 27357211132329
BaseRepresentation
bin10000101101101101…
…11110010110000000
3212011101010012200120
420112312332112000
5121334200210410
64042232020240
7435241006500
oct102666762600
925141105616
108973444480
113895303720
1218a5231680
13b00113080
14611aa1a00
15377bd3570
hex216dbe580

8973444480 has 1536 divisors, whose sum is σ = 42195686400. Its totient is φ = 1589575680.

The previous prime is 8973444479. The next prime is 8973444517. The reversal of 8973444480 is 844443798.

It is a happy number.

It is a super-3 number, since 3×89734444803 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309429106 + ... + 309429134.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 28973444480 is an apocalyptic number.

8973444480 is a gapful number since it is divisible by the number (80) 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 8973444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097843200).

8973444480 is an abundant number, since it is smaller than the sum of its proper divisors (33222241920).

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

8973444480 is a wasteful number, since it uses less digits than its factorization.

8973444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The square root of 8973444480 is about 94728.2665311680. The cubic root of 8973444480 is about 2078.0359665642.

The spelling of 8973444480 in words is "eight billion, nine hundred seventy-three million, four hundred forty-four thousand, four hundred eighty".