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8349675264 = 28337289277
BaseRepresentation
bin1111100011010110…
…11110111100000000
3210112220101110012000
413301223132330000
5114100004102024
63500310304000
7413625032400
oct76153367400
923486343160
108349675264
1135a51a0677
121750358000
13a30b14568
14592ccc800
1533d06ccc9
hex1f1adef00

8349675264 has 432 divisors, whose sum is σ = 29150301600. Its totient is φ = 2350301184.

The previous prime is 8349675241. The next prime is 8349675293. The reversal of 8349675264 is 4625769438.

8349675264 is a `hidden beast` number, since 83 + 496 + 75 + 2 + 6 + 4 = 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 (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 8349675264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30143094 + ... + 30143370.

It is an arithmetic number, because the mean of its divisors is an integer number (67477550).

Almost surely, 28349675264 is an apocalyptic number.

8349675264 is a gapful number since it is divisible by the number (84) 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 8349675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14575150800).

8349675264 is an abundant number, since it is smaller than the sum of its proper divisors (20800626336).

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

8349675264 is a wasteful number, since it uses less digits than its factorization.

8349675264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 8349675264 is about 91376.5575188735. The cubic root of 8349675264 is about 2028.7250654819.

The spelling of 8349675264 in words is "eight billion, three hundred forty-nine million, six hundred seventy-five thousand, two hundred sixty-four".