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4691106816 = 210311294787
BaseRepresentation
bin1000101111001110…
…01001110000000000
3110002221010220202220
410113213021300000
534101410404231
62053254411040
7224151515154
oct42747116000
913087126686
104691106816
111a98009a90
12aab060a80
13599b68c66
14327055064
151c6c8c896
hex1179c9c00

4691106816 has 176 divisors, whose sum is σ = 14113491840. Its totient is φ = 1372241920.

The previous prime is 4691106811. The next prime is 4691106839. The reversal of 4691106816 is 6186011964.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4691106811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977575 + ... + 982361.

Almost surely, 24691106816 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 4691106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056745920).

4691106816 is an abundant number, since it is smaller than the sum of its proper divisors (9422385024).

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

4691106816 is a wasteful number, since it uses less digits than its factorization.

4691106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 4691106816 is about 68491.6550829369. The cubic root of 4691106816 is about 1674.0115134191.

The spelling of 4691106816 in words is "four billion, six hundred ninety-one million, one hundred six thousand, eight hundred sixteen".