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4125814056 = 2334713313761
BaseRepresentation
bin1111010111101010…
…1110110100101000
3101122112110001220000
43311322232310220
531422202022211
61521222303000
7204145561260
oct36572566450
911575401800
104125814056
111827a07191
12971887a60
13509a02ac0
142b1d447a0
15192328656
hexf5eaed28

4125814056 has 640 divisors, whose sum is σ = 15325685760. Its totient is φ = 1007769600.

The previous prime is 4125814039. The next prime is 4125814057. The reversal of 4125814056 is 6504185214.

It is a happy number.

4125814056 is a `hidden beast` number, since 412 + 58 + 140 + 56 = 666.

It is a super-2 number, since 2×41258140562 = 34044683249374342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4125814056.

It is not an unprimeable number, because it can be changed into a prime (4125814057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67636266 + ... + 67636326.

It is an arithmetic number, because the mean of its divisors is an integer number (23946384).

Almost surely, 24125814056 is an apocalyptic number.

It is a pronic number, being equal to 64232×64233.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125814056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662842880).

4125814056 is an abundant number, since it is smaller than the sum of its proper divisors (11199871704).

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

4125814056 is a wasteful number, since it uses less digits than its factorization.

4125814056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4125814056 is about 64232.4999980539. The cubic root of 4125814056 is about 1603.8726575563.

The spelling of 4125814056 in words is "four billion, one hundred twenty-five million, eight hundred fourteen thousand, fifty-six".