Search a number
-
+
45115055244 = 22337501111909
BaseRepresentation
bin101010000001000100…
…010001110010001100
311022110010221021012000
4222001010101302030
51214343423231434
632420420112300
73154664433210
oct520104216214
9138403837160
1045115055244
11181512aa826
1288b0b35690
13433c9c647c
14227da5c940
151290ab8b99
hexa81111c8c

45115055244 has 96 divisors (see below), whose sum is σ = 133712140800. Its totient is φ = 12886361280.

The previous prime is 45115055173. The next prime is 45115055257. The reversal of 45115055244 is 44255051154.

45115055244 is a `hidden beast` number, since 4 + 5 + 11 + 50 + 552 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45115055199 and 45115055208.

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, 3782362 + ... + 3794270.

It is an arithmetic number, because the mean of its divisors is an integer number (1392834800).

Almost surely, 245115055244 is an apocalyptic number.

It is an amenable number.

45115055244 is an abundant number, since it is smaller than the sum of its proper divisors (88597085556).

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

45115055244 is a wasteful number, since it uses less digits than its factorization.

45115055244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940 (or 16932 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 45115055244 in words is "forty-five billion, one hundred fifteen million, fifty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 5011 10022 11909 15033 20044 23818 30066 35077 35727 45099 47636 60132 70154 71454 83363 90198 105231 107181 135297 140308 142908 166726 180396 210462 214362 250089 270594 315693 321543 333452 420924 428724 500178 541188 631386 643086 750267 947079 1000356 1262772 1286172 1500534 1894158 2250801 3001068 3788316 4501602 9003204 59675999 119351998 179027997 238703996 358055994 417731993 537083991 716111988 835463986 1074167982 1253195979 1611251973 1670927972 2148335964 2506391958 3222503946 3759587937 5012783916 6445007892 7519175874 11278763811 15038351748 22557527622 45115055244