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68824428600 = 233521741199827
BaseRepresentation
bin100000000011001000…
…0010111000000111000
320120122111022020002010
41000012100113000320
52111423023203400
651341214205520
74654350663534
oct1000620270070
9216574266063
1068824428600
1127208660964
12114091b38a0
13664aa27285
14348c844bc4
151bcc2ed450
hex1006417038

68824428600 has 384 divisors, whose sum is σ = 232860096000. Its totient is φ = 16747315200.

The previous prime is 68824428577. The next prime is 68824428619. The reversal of 68824428600 is 682442886.

It is a self number, because there is not a number n which added to its sum of digits gives 68824428600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83221387 + ... + 83222213.

It is an arithmetic number, because the mean of its divisors is an integer number (606406500).

Almost surely, 268824428600 is an apocalyptic number.

68824428600 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 68824428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116430048000).

68824428600 is an abundant number, since it is smaller than the sum of its proper divisors (164035667400).

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

68824428600 is a wasteful number, since it uses less digits than its factorization.

68824428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 68824428600 in words is "sixty-eight billion, eight hundred twenty-four million, four hundred twenty-eight thousand, six hundred".