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68280225216 = 2637319197277
BaseRepresentation
bin111111100101110100…
…011000110111000000
320112020120021211101020
4333211310120313000
52104314214201331
651211214105440
74635022224000
oct774564306700
9215216254336
1068280225216
1126a594528a5
1211296aab280
136592066338
14343a464000
151b99652c96
hexfe5d18dc0

68280225216 has 448 divisors, whose sum is σ = 223698816000. Its totient is φ = 18321666048.

The previous prime is 68280225191. The next prime is 68280225217. The reversal of 68280225216 is 61252208286.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68280225217) 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 63 ways as a sum of consecutive naturals, for example, 246498870 + ... + 246499146.

Almost surely, 268280225216 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 68280225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111849408000).

68280225216 is an abundant number, since it is smaller than the sum of its proper divisors (155418590784).

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

68280225216 is a wasteful number, since it uses less digits than its factorization.

68280225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 68280225216 in words is "sixty-eight billion, two hundred eighty million, two hundred twenty-five thousand, two hundred sixteen".