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68444974080 = 210355729271
BaseRepresentation
bin111111101111101000…
…110110110000000000
320112200001021221100000
4333233220312300000
52110133403132310
651235421200000
74642062452250
oct775750666000
9215601257300
1068444974080
112703344908a
1211322100000
1365ba22a482
1434542ab960
151ba8d474c0
hexfefa36c00

68444974080 has 1056 divisors, whose sum is σ = 291843901440. Its totient is φ = 15049359360.

The previous prime is 68444974061. The next prime is 68444974139. The reversal of 68444974080 is 8047944486.

68444974080 is a `hidden beast` number, since 6 + 84 + 449 + 7 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 252564345 + ... + 252564615.

Almost surely, 268444974080 is an apocalyptic number.

68444974080 is a gapful number since it is divisible by the number (60) 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 68444974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145921950720).

68444974080 is an abundant number, since it is smaller than the sum of its proper divisors (223398927360).

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

68444974080 is a wasteful number, since it uses less digits than its factorization.

68444974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 68444974080 in words is "sixty-eight billion, four hundred forty-four million, nine hundred seventy-four thousand, eighty".