Search a number
-
+
54844328761632 = 2533248512554313
BaseRepresentation
bin11000111100001011100001…
…01110111101100100100000
321012012001210120101010012000
430132011300232331210200
524142032141130333012
6312351045315004000
714360241410453334
oct1436056056754440
9235161716333160
1054844328761632
1116525392885143
126199246899600
13247aa4b2ca237
14d786a032d7c4
15651960959ddc
hex31e170bbd920

54844328761632 has 96 divisors (see below), whose sum is σ = 159969125050560. Its totient is φ = 18280700121600.

The previous prime is 54844328761613. The next prime is 54844328761657. The reversal of 54844328761632 is 23616782344845.

54844328761632 is a `hidden beast` number, since 5 + 4 + 8 + 4 + 4 + 3 + 2 + 8 + 7 + 616 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 54844328761632.

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, 20194108 + ... + 22748420.

It is an arithmetic number, because the mean of its divisors is an integer number (1666345052610).

Almost surely, 254844328761632 is an apocalyptic number.

It is an amenable number.

54844328761632 is an abundant number, since it is smaller than the sum of its proper divisors (105124796288928).

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

54844328761632 is a wasteful number, since it uses less digits than its factorization.

54844328761632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579183 (or 2579169 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 54844328761632 in words is "fifty-four trillion, eight hundred forty-four billion, three hundred twenty-eight million, seven hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 24851 49702 74553 99404 149106 198808 223659 298212 397616 447318 596424 670977 795232 894636 1192848 1341954 1789272 2385696 2554313 2683908 3578544 5108626 5367816 7157088 7662939 10217252 10735632 15325878 20434504 21471264 22988817 30651756 40869008 45977634 61303512 68966451 81738016 91955268 122607024 137932902 183910536 245214048 275865804 367821072 551731608 735642144 1103463216 2206926432 63477232363 126954464726 190431697089 253908929452 380863394178 507817858904 571295091267 761726788356 1015635717808 1142590182534 1523453576712 1713885273801 2031271435616 2285180365068 3046907153424 3427770547602 4570360730136 6093814306848 6855541095204 9140721460272 13711082190408 18281442920544 27422164380816 54844328761632