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68888021400 = 2336521142953
BaseRepresentation
bin100000000101000001…
…0111100100110011000
320120210220222002000000
41000022002330212120
52112040313141100
651351405213000
74656052343352
oct1001202744630
9216726862000
1068888021400
11272405460a0
1211426561160
13665ac61653
14349707a0d2
151bd2bb0900
hex100a0bc998

68888021400 has 336 divisors, whose sum is σ = 261973868760. Its totient is φ = 16699737600.

The previous prime is 68888021399. The next prime is 68888021413. The reversal of 68888021400 is 412088886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1582324 + ... + 1625276.

Almost surely, 268888021400 is an apocalyptic number.

68888021400 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 68888021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130986934380).

68888021400 is an abundant number, since it is smaller than the sum of its proper divisors (193085847360).

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

68888021400 is a wasteful number, since it uses less digits than its factorization.

68888021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42998 (or 42974 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

It can be divided in two parts, 688 and 88021400, that added together give a palindrome (88022088).

The spelling of 68888021400 in words is "sixty-eight billion, eight hundred eighty-eight million, twenty-one thousand, four hundred".