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4169424365568 = 211327112535039
BaseRepresentation
bin111100101011000101000…
…011101110100000000000
3112202121000100112020001200
4330223011003232200000
51021302440114144233
612511223534101200
7610142136232560
oct74530503564000
915677010466050
104169424365568
1113682743a3100
1257408b94a800
13243237708417
14105b30772da0
15736c9eec313
hex3cac50ee800

4169424365568 has 864 divisors, whose sum is σ = 15415697606400. Its totient is φ = 1062323159040.

The previous prime is 4169424365551. The next prime is 4169424365573. The reversal of 4169424365568 is 8655634249614.

It is a happy number.

4169424365568 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 4 + 2 + 4 + 3 + 65 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 827428393 + ... + 827433431.

It is an arithmetic number, because the mean of its divisors is an integer number (17842242600).

Almost surely, 24169424365568 is an apocalyptic number.

4169424365568 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 4169424365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707848803200).

4169424365568 is an abundant number, since it is smaller than the sum of its proper divisors (11246273240832).

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

4169424365568 is a wasteful number, since it uses less digits than its factorization.

4169424365568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5115 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 4169424365568 in words is "four trillion, one hundred sixty-nine billion, four hundred twenty-four million, three hundred sixty-five thousand, five hundred sixty-eight".