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77768543748 = 223713716694049
BaseRepresentation
bin100100001101101011…
…1011100111000000100
321102201211020100111010
41020123113130320010
52233232221344443
655420521442220
75422114500150
oct1103327347004
9242654210433
1077768543748
112aa88351a65
12130a4640370
137444a3b6bc
143a9a670060
15205263b733
hex121b5dce04

77768543748 has 96 divisors (see below), whose sum is σ = 209073312000. Its totient is φ = 22038736896.

The previous prime is 77768543747. The next prime is 77768543761. The reversal of 77768543748 is 84734586777.

It is not an unprimeable number, because it can be changed into a prime (77768543747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19204828 + ... + 19208876.

It is an arithmetic number, because the mean of its divisors is an integer number (2177847000).

Almost surely, 277768543748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77768543748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104536656000).

77768543748 is an abundant number, since it is smaller than the sum of its proper divisors (131304768252).

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

77768543748 is a wasteful number, since it uses less digits than its factorization.

77768543748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5867 counting only the distinct ones).

The product of its digits is 221276160, while the sum is 66.

The spelling of 77768543748 in words is "seventy-seven billion, seven hundred sixty-eight million, five hundred forty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1669 1918 2877 3338 3836 4049 5007 5754 6676 8098 10014 11508 11683 12147 16196 20028 23366 24294 28343 35049 46732 48588 56686 70098 85029 113372 140196 170058 228653 340116 457306 554713 685959 914612 1109426 1371918 1600571 1664139 2218852 2743836 3201142 3328278 3882991 4801713 6402284 6656556 6757781 7765982 9603426 11648973 13515562 15531964 19206852 20273343 23297946 27031124 40546686 46595892 47304467 81093372 94608934 141913401 189217868 283826802 567653604 925815997 1851631994 2777447991 3703263988 5554895982 6480711979 11109791964 12961423958 19442135937 25922847916 38884271874 77768543748