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4068174958848 = 28377211131761
BaseRepresentation
bin111011001100110010000…
…111111001000100000000
3112101220200002220110000000
4323030302013321010000
51013123110242140343
612352521020000000
7566626111412100
oct73146207710400
915356602813000
104068174958848
111329337786270
12558533690000
132368200c6180
14100c87801200
1570c51267ed3
hex3b3321f9100

4068174958848 has 3456 divisors, whose sum is σ = 17911958561280. Its totient is φ = 902961561600.

The previous prime is 4068174958781. The next prime is 4068174958849. The reversal of 4068174958848 is 8488594718604.

It is a happy number.

4068174958848 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 17 + 495 + 88 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068174958849) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66691392738 + ... + 66691392798.

It is an arithmetic number, because the mean of its divisors is an integer number (5182858380).

Almost surely, 24068174958848 is an apocalyptic number.

4068174958848 is a gapful number since it is divisible by the number (48) 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 4068174958848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955979280640).

4068174958848 is an abundant number, since it is smaller than the sum of its proper divisors (13843783602432).

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

4068174958848 is a wasteful number, since it uses less digits than its factorization.

4068174958848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 4068174958848 in words is "four trillion, sixty-eight billion, one hundred seventy-four million, nine hundred fifty-eight thousand, eight hundred forty-eight".