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77343734340 = 223251922615127
BaseRepresentation
bin100100000001000001…
…0111011101001000100
321101122012212210112100
41020002002323221010
52231344443444330
655310424352100
75405435615565
oct1100202735104
9241565783470
1077343734340
112a88a581404
1212ba6315630
1373a7a218a2
143a5a08c16c
15202a1c7060
hex12020bba44

77343734340 has 72 divisors (see below), whose sum is σ = 246957197760. Its totient is φ = 19539468864.

The previous prime is 77343734317. The next prime is 77343734387. The reversal of 77343734340 is 4343734377.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11304144 + ... + 11310983.

It is an arithmetic number, because the mean of its divisors is an integer number (3429961080).

Almost surely, 277343734340 is an apocalyptic number.

It is an amenable number.

77343734340 is an abundant number, since it is smaller than the sum of its proper divisors (169613463420).

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

77343734340 is a wasteful number, since it uses less digits than its factorization.

77343734340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22615161 (or 22615156 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 45.

The spelling of 77343734340 in words is "seventy-seven billion, three hundred forty-three million, seven hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 22615127 45230254 67845381 90460508 113075635 135690762 203536143 226151270 271381524 339226905 407072286 429687413 452302540 678453810 814144572 859374826 1017680715 1289062239 1356907620 1718749652 2035361430 2148437065 2578124478 3867186717 4070722860 4296874130 5156248956 6445311195 7734373434 8593748260 12890622390 15468746868 19335933585 25781244780 38671867170 77343734340