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68188420347040 = 2557671009900589
BaseRepresentation
bin11111000000100010110101…
…00100101001010010100000
322221102202020020220021201101
433200101122210221102200
532414144341102101130
6401005154452244144
720235310423452550
oct1740213244512240
9287382206807641
1068188420347040
111a7aa601687914
127793458010654
132c081a9743956
1412ba4a1219160
157d3b0d59e1ca
hex3e045a9294a0

68188420347040 has 192 divisors, whose sum is σ = 187042024108800. Its totient is φ = 23007098290176.

The previous prime is 68188420347031. The next prime is 68188420347167. The reversal of 68188420347040 is 4074302488186.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75265066 + ... + 76165654.

It is an arithmetic number, because the mean of its divisors is an integer number (974177208900).

Almost surely, 268188420347040 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 68188420347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93521012054400).

68188420347040 is an abundant number, since it is smaller than the sum of its proper divisors (118853603761760).

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

68188420347040 is a wasteful number, since it uses less digits than its factorization.

68188420347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901687 (or 901679 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 55.

The spelling of 68188420347040 in words is "sixty-eight trillion, one hundred eighty-eight billion, four hundred twenty million, three hundred forty-seven thousand, forty".