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68001428880 = 24335711331109
BaseRepresentation
bin111111010101001100…
…110111010110010000
320111112010200111201000
4333111030313112100
52103231331211010
651123414342000
74625065415460
oct772514672620
9214463614630
1068001428880
1126926041000
121121965a900
1365493807a8
14341140dba0
151b7ee317c0
hexfd5337590

68001428880 has 1280 divisors, whose sum is σ = 306723225600. Its totient is φ = 13548902400.

The previous prime is 68001428863. The next prime is 68001428881. The reversal of 68001428880 is 8882410086.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (68001428881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 623866266 + ... + 623866374.

It is an arithmetic number, because the mean of its divisors is an integer number (239627520).

Almost surely, 268001428880 is an apocalyptic number.

68001428880 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 68001428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153361612800).

68001428880 is an abundant number, since it is smaller than the sum of its proper divisors (238721796720).

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

68001428880 is a wasteful number, since it uses less digits than its factorization.

68001428880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

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

The spelling of 68001428880 in words is "sixty-eight billion, one million, four hundred twenty-eight thousand, eight hundred eighty".