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77785557012 = 22335197138587
BaseRepresentation
bin100100001110001100…
…0010110100000010100
321102210000020201022000
41020130120112200110
52233301100311022
655422330235300
75422412216412
oct1103430264024
9242700221260
1077785557012
112aa96a12309
12130aa285b30
137448417517
143a9ca1c2b2
152053d9c6ac
hex121c616814

77785557012 has 48 divisors (see below), whose sum is σ = 201706518720. Its totient is φ = 25923342816.

The previous prime is 77785556969. The next prime is 77785557013. The reversal of 77785557012 is 21075558777.

77785557012 is a `hidden beast` number, since 7 + 7 + 7 + 8 + 55 + 570 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 77785557012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77785557013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491983 + ... + 630569.

It is an arithmetic number, because the mean of its divisors is an integer number (4202219140).

Almost surely, 277785557012 is an apocalyptic number.

It is an amenable number.

77785557012 is an abundant number, since it is smaller than the sum of its proper divisors (123920961708).

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

77785557012 is a wasteful number, since it uses less digits than its factorization.

77785557012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143797 (or 143789 counting only the distinct ones).

The product of its (nonzero) digits is 4802000, while the sum is 54.

The spelling of 77785557012 in words is "seventy-seven billion, seven hundred eighty-five million, five hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 5197 10394 15591 20788 31182 46773 62364 93546 138587 140319 187092 277174 280638 415761 554348 561276 831522 1247283 1663044 2494566 3741849 4989132 7483698 14967396 720236639 1440473278 2160709917 2880946556 4321419834 6482129751 8642839668 12964259502 19446389253 25928519004 38892778506 77785557012