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68313123216 = 243213223312127
BaseRepresentation
bin111111100111110001…
…111000100110010000
320112022212012012221200
4333213301320212100
52104401124420331
651214351151200
74635601652352
oct774761704620
9215285165850
1068313123216
1126a75a82628
12112a5b15500
136598b14400
1434409890d2
151b9c4a05e6
hexfe7c78990

68313123216 has 540 divisors, whose sum is σ = 224971029504. Its totient is φ = 19303764480.

The previous prime is 68313123181. The next prime is 68313123223. The reversal of 68313123216 is 61232131386.

68313123216 is a `hidden beast` number, since 6 + 8 + 313 + 12 + 321 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 537898545 + ... + 537898671.

Almost surely, 268313123216 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 68313123216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112485514752).

68313123216 is an abundant number, since it is smaller than the sum of its proper divisors (156657906288).

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

68313123216 is a wasteful number, since it uses less digits than its factorization.

68313123216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 199 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 68313123216 in words is "sixty-eight billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred sixteen".