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6080944320 = 2633511109587
BaseRepresentation
bin1011010100111001…
…11101100011000000
3120200210100222102000
411222130331203000
544423210204240
62443223424000
7303456113433
oct55234754300
916623328360
106080944320
112640597520
1212185b5000
1375ba99c09
1441987d81a
15258cc6430
hex16a73d8c0

6080944320 has 448 divisors, whose sum is σ = 23657356800. Its totient is φ = 1458155520.

The previous prime is 6080944301. The next prime is 6080944349. The reversal of 6080944320 is 234490806.

It is a happy number.

6080944320 is a `hidden beast` number, since 60 + 80 + 94 + 432 + 0 = 666.

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

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, 10359067 + ... + 10359653.

It is an arithmetic number, because the mean of its divisors is an integer number (52806600).

Almost surely, 26080944320 is an apocalyptic number.

6080944320 is a gapful number since it is divisible by the number (60) 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 6080944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828678400).

6080944320 is an abundant number, since it is smaller than the sum of its proper divisors (17576412480).

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

6080944320 is a wasteful number, since it uses less digits than its factorization.

6080944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6080944320 is about 77980.4098476021. The cubic root of 6080944320 is about 1825.2555413732.

The spelling of 6080944320 in words is "six billion, eighty million, nine hundred forty-four thousand, three hundred twenty".