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77006508420 = 223512710105841
BaseRepresentation
bin100011110110111110…
…0100001000110000100
321100202201022221112110
41013231330201012010
52230202131232140
655213140421020
75364202343622
oct1075574410604
9240681287473
1077006508420
112a7271915a6
1212b113a7770
137352bbbb1a
143a27388512
15200a7b3380
hex11edf21184

77006508420 has 48 divisors (see below), whose sum is σ = 217316026368. Its totient is φ = 20373373440.

The previous prime is 77006508407. The next prime is 77006508437. The reversal of 77006508420 is 2480560077.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5045301 + ... + 5060540.

It is an arithmetic number, because the mean of its divisors is an integer number (4527417216).

Almost surely, 277006508420 is an apocalyptic number.

It is an amenable number.

77006508420 is an abundant number, since it is smaller than the sum of its proper divisors (140309517948).

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

77006508420 is a wasteful number, since it uses less digits than its factorization.

77006508420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105980 (or 10105978 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 77006508420 in words is "seventy-seven billion, six million, five hundred eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 10105841 20211682 30317523 40423364 50529205 60635046 101058410 121270092 151587615 202116820 303175230 606350460 1283441807 2566883614 3850325421 5133767228 6417209035 7700650842 12834418070 15401301684 19251627105 25668836140 38503254210 77006508420