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5858517968 = 2417211102079
BaseRepresentation
bin1010111010011000…
…11110001111010000
3120010021211112210222
411131030132033100
543444240033333
62405200212212
7265115403212
oct53514361720
916107745728
105858517968
112536a87296
12117600a068
1372498cca4
143d81005b2
152444dc298
hex15d31e3d0

5858517968 has 40 divisors (see below), whose sum is σ = 12075655680. Its totient is φ = 2743856640.

The previous prime is 5858517961. The next prime is 5858517997. The reversal of 5858517968 is 8697158585.

It is a self number, because there is not a number n which added to its sum of digits gives 5858517968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5858517961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6353 + ... + 108431.

It is an arithmetic number, because the mean of its divisors is an integer number (301891392).

Almost surely, 25858517968 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 5858517968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037827840).

5858517968 is an abundant number, since it is smaller than the sum of its proper divisors (6217137712).

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

5858517968 is a wasteful number, since it uses less digits than its factorization.

5858517968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102315 (or 102309 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 62.

The square root of 5858517968 is about 76540.9561476730. The cubic root of 5858517968 is about 1802.7240614227.

The spelling of 5858517968 in words is "five billion, eight hundred fifty-eight million, five hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 211 272 422 844 1688 3376 3587 7174 14348 28696 57392 102079 204158 408316 816632 1633264 1735343 3470686 6941372 13882744 21538669 27765488 43077338 86154676 172309352 344618704 366157373 732314746 1464629492 2929258984 5858517968