Search a number
-
+
77054544112 = 24713215312659
BaseRepresentation
bin100011111000011001…
…1110000100011110000
321100220001201102010011
41013300303300203300
52230301430402422
655222014144304
75365324550440
oct1076063604360
9240801642104
1077054544112
112a751310517
1212b254b2094
13735cb3a100
143a2d8d0120
15200eb01077
hex11f0cf08f0

77054544112 has 120 divisors (see below), whose sum is σ = 184945246080. Its totient is φ = 30451749120.

The previous prime is 77054544109. The next prime is 77054544113. The reversal of 77054544112 is 21144545077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77054544113) 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 23 ways as a sum of consecutive naturals, for example, 28977439 + ... + 28980097.

It is an arithmetic number, because the mean of its divisors is an integer number (1541210384).

Almost surely, 277054544112 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 77054544112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92472623040).

77054544112 is an abundant number, since it is smaller than the sum of its proper divisors (107890701968).

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

77054544112 is a wasteful number, since it uses less digits than its factorization.

77054544112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 77054544112 in words is "seventy-seven billion, fifty-four million, five hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 1531 2366 2659 2704 3062 4732 5318 6124 9464 10636 10717 12248 18613 18928 19903 21272 21434 24496 34567 37226 39806 42544 42868 69134 74452 79612 85736 138268 139321 148904 159224 171472 241969 258739 276536 278642 297808 318448 449371 483938 517478 553072 557284 898742 967876 1034956 1114568 1797484 1811173 1935752 2069912 2229136 3145597 3594968 3622346 3871504 4070929 4139824 6291194 7189936 7244692 8141858 12582388 14489384 16283716 25164776 28496503 28978768 32567432 50329552 52922077 56993006 65134864 105844154 113986012 211688308 227972024 370454539 423376616 455944048 687987001 740909078 846753232 1375974002 1481818156 2751948004 2963636312 4815909007 5503896008 5927272624 9631818014 11007792016 19263636028 38527272056 77054544112