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3059023968 = 253671113131
BaseRepresentation
bin1011011001010101…
…0000000001100000
321220012002112000000
42312111100001200
522231102231333
61223313300000
7135543163140
oct26625200140
97805075000
103059023968
11132a814a90
12714564600
133999ac170
142103ac920
1512d852713
hexb6550060

3059023968 has 672 divisors, whose sum is σ = 12216137472. Its totient is φ = 727833600.

The previous prime is 3059023939. The next prime is 3059023991. The reversal of 3059023968 is 8693209503.

3059023968 is a `hidden beast` number, since 30 + 590 + 23 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23351263 + ... + 23351393.

It is an arithmetic number, because the mean of its divisors is an integer number (18178776).

Almost surely, 23059023968 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 3059023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108068736).

3059023968 is an abundant number, since it is smaller than the sum of its proper divisors (9157113504).

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

3059023968 is a wasteful number, since it uses less digits than its factorization.

3059023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3059023968 is about 55308.4439122997. The cubic root of 3059023968 is about 1451.6467961325.

The spelling of 3059023968 in words is "three billion, fifty-nine million, twenty-three thousand, nine hundred sixty-eight".