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4228197700608 = 210327215536029
BaseRepresentation
bin111101100001110100001…
…110001101010000000000
3112222012201100220222211100
4331201310032031100000
51023233322102404413
612554223542414400
7614322452313600
oct75416416152000
915865640828740
104228197700608
111390194411672
12583552a31400
13248942c9614b
14108908354c00
1574eb9be8a73
hex3d87438d400

4228197700608 has 396 divisors, whose sum is σ = 14213609422740. Its totient is φ = 1207078354944.

The previous prime is 4228197700591. The next prime is 4228197700609. The reversal of 4228197700608 is 8060077918224.

It is a happy number.

4228197700608 is a `hidden beast` number, since 4 + 2 + 28 + 1 + 9 + 7 + 7 + 0 + 0 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2253745557504 + 1974452143104 = 1501248^2 + 1405152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228197700609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 701306938 + ... + 701312966.

Almost surely, 24228197700608 is an apocalyptic number.

4228197700608 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 4228197700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106804711370).

4228197700608 is an abundant number, since it is smaller than the sum of its proper divisors (9985411722132).

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

4228197700608 is a wasteful number, since it uses less digits than its factorization.

4228197700608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4228197700608 in words is "four trillion, two hundred twenty-eight billion, one hundred ninety-seven million, seven hundred thousand, six hundred eight".