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68270185984 = 2971113314297
BaseRepresentation
bin111111100101001110…
…000101111000000000
320112012212101210010211
4333211032011320000
52104304131422414
651210215003504
74634541002050
oct774516057000
9215185353124
1068270185984
1126a53816210
1211293669594
13658cc5c970
143438dad560
151b9881d3c4
hexfe5385e00

68270185984 has 320 divisors, whose sum is σ = 189099896832. Its totient is φ = 23755161600.

The previous prime is 68270185969. The next prime is 68270185999. The reversal of 68270185984 is 48958107286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68270185969) and next prime (68270185999).

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 31 ways as a sum of consecutive naturals, for example, 15885724 + ... + 15890020.

Almost surely, 268270185984 is an apocalyptic number.

68270185984 is a gapful number since it is divisible by the number (64) 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 68270185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94549948416).

68270185984 is an abundant number, since it is smaller than the sum of its proper divisors (120829710848).

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

68270185984 is a wasteful number, since it uses less digits than its factorization.

68270185984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 68270185984 in words is "sixty-eight billion, two hundred seventy million, one hundred eighty-five thousand, nine hundred eighty-four".