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65106747104 = 25773107127293
BaseRepresentation
bin111100101000101010…
…100001111011100000
320020001101211102210212
4330220222201323200
52031314311401404
645524251313252
74463256135140
oct745052417340
9206041742725
1065106747104
1125680074813
121075014b828
1361a7752639
143218bc0920
151a60c4306e
hexf28aa1ee0

65106747104 has 192 divisors, whose sum is σ = 151580491776. Its totient is φ = 26956468224.

The previous prime is 65106747077. The next prime is 65106747107. The reversal of 65106747104 is 40174760156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65106747107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222207182 + ... + 222207474.

It is an arithmetic number, because the mean of its divisors is an integer number (789481728).

Almost surely, 265106747104 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 65106747104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75790245888).

65106747104 is an abundant number, since it is smaller than the sum of its proper divisors (86473744672).

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

65106747104 is a wasteful number, since it uses less digits than its factorization.

65106747104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 65106747104 in words is "sixty-five billion, one hundred six million, seven hundred forty-seven thousand, one hundred four".