Search a number
-
+
80456655564 = 2235264731271
BaseRepresentation
bin100101011101110010…
…1110010001011001100
321200200011101120200000
41022323211302023030
52304233400434224
6100543345204300
75545535200635
oct1127345621314
9250604346600
1080456655564
113113775917a
1213714930690
137782921ccc
143c7368a88c
15215d6240c9
hex12bb9722cc

80456655564 has 72 divisors (see below), whose sum is σ = 210995436288. Its totient is φ = 26807896080.

The previous prime is 80456655563. The next prime is 80456655589. The reversal of 80456655564 is 46555665408.

80456655564 is a `hidden beast` number, since 80 + 4 + 5 + 6 + 6 + 5 + 556 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 80456655564.

It is not an unprimeable number, because it can be changed into a prime (80456655563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557249 + ... + 2588519.

Almost surely, 280456655564 is an apocalyptic number.

It is an amenable number.

80456655564 is an abundant number, since it is smaller than the sum of its proper divisors (130538780724).

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

80456655564 is a wasteful number, since it uses less digits than its factorization.

80456655564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33937 (or 33923 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 80456655564 in words is "eighty billion, four hundred fifty-six million, six hundred fifty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2647 5294 7941 10588 15882 23823 31271 31764 47646 62542 71469 93813 95292 125084 142938 187626 214407 281439 285876 375252 428814 562878 643221 844317 857628 1125756 1286442 1688634 2532951 2572884 3377268 5065902 7598853 10131804 15197706 30395412 82774337 165548674 248323011 331097348 496646022 744969033 993292044 1489938066 2234907099 2979876132 4469814198 6704721297 8939628396 13409442594 20114163891 26818885188 40228327782 80456655564