Search a number
-
+
77707440368 = 24174321373109
BaseRepresentation
bin100100001011110111…
…0010111000011110000
321102120120020222101222
41020113232113003300
52233121101042433
655410500044212
75420443226165
oct1102756270360
9242516228358
1077707440368
112aa569080a8
1213088093668
13743519645c
143a924c606c
15204c0bbb98
hex1217b970f0

77707440368 has 80 divisors (see below), whose sum is σ = 163250667360. Its totient is φ = 35689586688.

The previous prime is 77707440353. The next prime is 77707440379. The reversal of 77707440368 is 86304470777.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24992798 + ... + 24995906.

It is an arithmetic number, because the mean of its divisors is an integer number (2040633342).

Almost surely, 277707440368 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 77707440368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81625333680).

77707440368 is an abundant number, since it is smaller than the sum of its proper divisors (85543226992).

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

77707440368 is a wasteful number, since it uses less digits than its factorization.

77707440368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 53.

The spelling of 77707440368 in words is "seventy-seven billion, seven hundred seven million, four hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 172 272 344 688 731 1462 2137 2924 3109 4274 5848 6218 8548 11696 12436 17096 24872 34192 36329 49744 52853 72658 91891 105706 133687 145316 183782 211412 267374 290632 367564 422824 534748 581264 735128 845648 1069496 1470256 1562147 2138992 2272679 3124294 4545358 6248588 6643933 9090716 12497176 13287866 18181432 24994352 26575732 36362864 53151464 106302928 112946861 225893722 285689119 451787444 571378238 903574888 1142756476 1807149776 2285512952 4571025904 4856715023 9713430046 19426860092 38853720184 77707440368