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77106734010 = 23251018482589
BaseRepresentation
bin100011111001111101…
…0110110001110111010
321101000200220221012100
41013303322312032322
52230403310442020
655231120524230
75366530265535
oct1076372661672
9241020827170
1077106734010
112a778817569
1212b3aa80676
13736a8b11c7
143a367d7a1c
1520144aea90
hex11f3eb63ba

77106734010 has 48 divisors (see below), whose sum is σ = 202462458120. Its totient is φ = 20358211200.

The previous prime is 77106733993. The next prime is 77106734017. The reversal of 77106734010 is 1043760177.

It can be written as a sum of positive squares in 4 ways, for example, as 75315666969 + 1791067041 = 274437^2 + 42321^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77106734017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4232205 + ... + 4250384.

Almost surely, 277106734010 is an apocalyptic number.

77106734010 is an abundant number, since it is smaller than the sum of its proper divisors (125355724110).

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

77106734010 is a wasteful number, since it uses less digits than its factorization.

77106734010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482703 (or 8482700 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 77106734010 in words is "seventy-seven billion, one hundred six million, seven hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 8482589 16965178 25447767 42412945 50895534 76343301 84825890 127238835 152686602 254477670 381716505 763433010 856741489 1713482978 2570224467 4283707445 5140448934 7710673401 8567414890 12851122335 15421346802 25702244670 38553367005 77106734010