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57668112094208 = 21071119277138967
BaseRepresentation
bin11010001110010111001110…
…10101100001010000000000
321120012000110212220012000012
431013023213111201100000
530024313243144003313
6322352210455444052
715101245401660440
oct1507134725412000
9246160425805005
1057668112094208
11174139aa966480
126574572086628
132624105c65715
141035219aa0120
156a012ebbcda8
hex3472e7561400

57668112094208 has 352 divisors, whose sum is σ = 151837370664960. Its totient is φ = 21208568463360.

The previous prime is 57668112094183. The next prime is 57668112094223. The reversal of 57668112094208 is 80249021186675.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×576681120942082 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 414907541 + ... + 415046507.

Almost surely, 257668112094208 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 57668112094208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75918685332480).

57668112094208 is an abundant number, since it is smaller than the sum of its proper divisors (94169258570752).

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

57668112094208 is a wasteful number, since it uses less digits than its factorization.

57668112094208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139301 (or 139283 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 57668112094208 in words is "fifty-seven trillion, six hundred sixty-eight billion, one hundred twelve million, ninety-four thousand, two hundred eight".