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6070093344 = 25357289179
BaseRepresentation
bin1011010011100111…
…00100011000100000
3120200000221200200000
411221303210120200
544412420441334
62442155100000
7303264641100
oct55163443040
916600850600
106070093344
112635455a77
121214a41600
1375976ac13
14418257200
15257d81299
hex169ce4620

6070093344 has 432 divisors, whose sum is σ = 21175408800. Its totient is φ = 1705245696.

The previous prime is 6070093303. The next prime is 6070093357. The reversal of 6070093344 is 4433900706.

6070093344 is a `hidden beast` number, since 607 + 0 + 0 + 9 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 6070093299 and 6070093308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33911047 + ... + 33911225.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 26070093344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6070093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587704400).

6070093344 is an abundant number, since it is smaller than the sum of its proper divisors (15105315456).

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

6070093344 is a wasteful number, since it uses less digits than its factorization.

6070093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6070093344 is about 77910.8037694388. The cubic root of 6070093344 is about 1824.1692190650.

The spelling of 6070093344 in words is "six billion, seventy million, ninety-three thousand, three hundred forty-four".