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126880538064 = 243721915118803
BaseRepresentation
bin111011000101010101…
…0110101110111010000
3110010111112010011022120
41312022222311313100
54034322404204224
6134142122134240
712111134531100
oct1661252656720
9403445104276
10126880538064
114989a835215
1220710051380
13bc70824277
1461d9087200
153479073779
hex1d8aab5dd0

126880538064 has 240 divisors, whose sum is σ = 404036282880. Its totient is φ = 34114348800.

The previous prime is 126880538039. The next prime is 126880538077. The reversal of 126880538064 is 460835088621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126880537998 and 126880538016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6738487 + ... + 6757289.

It is an arithmetic number, because the mean of its divisors is an integer number (1683484512).

Almost surely, 2126880538064 is an apocalyptic number.

126880538064 is a gapful number since it is divisible by the number (14) 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 126880538064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202018141440).

126880538064 is an abundant number, since it is smaller than the sum of its proper divisors (277155744816).

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

126880538064 is a wasteful number, since it uses less digits than its factorization.

126880538064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18998 (or 18985 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 126880538064 in words is "one hundred twenty-six billion, eight hundred eighty million, five hundred thirty-eight thousand, sixty-four".