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77457728512 = 210113669401
BaseRepresentation
bin100100000100011010…
…1110010010000000000
321101221011101022010201
41020020311302100000
52232113134303022
655330015534544
75411321554243
oct1101065622000
9241834338121
1077457728512
112a93896096a
121301852a454
1373c5524c68
143a6b28325a
1520351e3127
hex1208d72400

77457728512 has 44 divisors (see below), whose sum is σ = 156210311916. Its totient is φ = 38386073600.

The previous prime is 77457728501. The next prime is 77457728549. The reversal of 77457728512 is 21582775477.

It can be written as a sum of positive squares in 2 ways, for example, as 12379677696 + 65078050816 = 111264^2 + 255104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218989 + ... + 450412.

Almost surely, 277457728512 is an apocalyptic number.

It is an amenable number.

77457728512 is an abundant number, since it is smaller than the sum of its proper divisors (78752583404).

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

77457728512 is a wasteful number, since it uses less digits than its factorization.

77457728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669534 (or 669516 counting only the distinct ones).

The product of its digits is 7683200, while the sum is 55.

The spelling of 77457728512 in words is "seventy-seven billion, four hundred fifty-seven million, seven hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 3616 7232 14464 28928 57856 115712 669401 1338802 2677604 5355208 10710416 21420832 42841664 75642313 85683328 151284626 171366656 302569252 342733312 605138504 685466624 1210277008 2420554016 4841108032 9682216064 19364432128 38728864256 77457728512