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77367814134 = 23135335353017
BaseRepresentation
bin100100000001101111…
…0110010011111110110
321101200220012011210120
41020003132302133312
52231422130023014
655313044432410
75406150366222
oct1100336623766
9241626164716
1077367814134
112a8a2128966
1212bb23a8706
1373aca02ca0
143a5d359782
15202c381ba9
hex12037b27f6

77367814134 has 64 divisors (see below), whose sum is σ = 170266670784. Its totient is φ = 23289716736.

The previous prime is 77367814129. The next prime is 77367814159. The reversal of 77367814134 is 43141876377.

It is a super-3 number, since 3×773678141343 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432794 + ... + 1485810.

It is an arithmetic number, because the mean of its divisors is an integer number (2660416731).

Almost surely, 277367814134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77367814134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85133335392).

77367814134 is an abundant number, since it is smaller than the sum of its proper divisors (92898856650).

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

77367814134 is a wasteful number, since it uses less digits than its factorization.

77367814134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53441.

The product of its digits is 2370816, while the sum is 51.

The spelling of 77367814134 in words is "seventy-seven billion, three hundred sixty-seven million, eight hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 353 689 706 1059 1378 2067 2118 4134 4589 9178 13767 18709 27534 37418 53017 56127 106034 112254 159051 243217 318102 486434 689221 729651 1378442 1459302 2067663 2809901 4135326 5619802 8429703 16859406 18715001 36528713 37430002 56145003 73057426 109586139 112290006 219172278 243295013 486590026 729885039 991895053 1459770078 1983790106 2975685159 5951370318 12894635689 25789271378 38683907067 77367814134