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46068694560 = 25325722328387
BaseRepresentation
bin101010111001111010…
…000111111000100000
311101220121101011101200
4222321322013320200
51223322041211220
633055204001200
73220424304600
oct527172077040
9141817334350
1046068694560
11185a0639099
128b18390200
1344624508a5
14233057cc00
1512e968d890
hexab9e87e20

46068694560 has 432 divisors, whose sum is σ = 190834128576. Its totient is φ = 10071806976.

The previous prime is 46068694559. The next prime is 46068694673. The reversal of 46068694560 is 6549686064.

46068694560 is a `hidden beast` number, since 460 + 6 + 86 + 9 + 45 + 60 = 666.

46068694560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46068694497 and 46068694506.

It is a congruent number.

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, 1608687 + ... + 1637073.

It is an arithmetic number, because the mean of its divisors is an integer number (441745668).

Almost surely, 246068694560 is an apocalyptic number.

46068694560 is a gapful number since it is divisible by the number (40) 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 46068694560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95417064288).

46068694560 is an abundant number, since it is smaller than the sum of its proper divisors (144765434016).

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

46068694560 is a wasteful number, since it uses less digits than its factorization.

46068694560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28445 (or 28427 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46068694560 in words is "forty-six billion, sixty-eight million, six hundred ninety-four thousand, five hundred sixty".