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68826181632 = 2123132983179
BaseRepresentation
bin100000000011001011…
…1000011000000000000
320120122121121021210020
41000012113003000000
52111424000303012
651341315533440
74654401614445
oct1000627030000
9216577537706
1068826181632
1127209648a4a
12114098ba280
13664b1bc180
14348cb7d9cc
151bcc547a8c
hex10065c3000

68826181632 has 416 divisors, whose sum is σ = 208064505600. Its totient is φ = 20087832576.

The previous prime is 68826181601. The next prime is 68826181639. The reversal of 68826181632 is 23618162886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is not an unprimeable number, because it can be changed into a prime (68826181639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384503719 + ... + 384503897.

Almost surely, 268826181632 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 68826181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104032252800).

68826181632 is an abundant number, since it is smaller than the sum of its proper divisors (139238323968).

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

68826181632 is a wasteful number, since it uses less digits than its factorization.

68826181632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 68826181632 in words is "sixty-eight billion, eight hundred twenty-six million, one hundred eighty-one thousand, six hundred thirty-two".