Search a number
-
+
5354234312544 = 2532138916068359
BaseRepresentation
bin100110111101010000100…
…1110111111011101100000
3200221212012210110200121200
41031322201032333131200
51200210432441000134
615215411251121200
71061554626511005
oct115724116773540
920855183420550
105354234312544
111784799759567
1272582a2a3200
132cab95c93470
141472097238ac
1594421381499
hex4dea13bf760

5354234312544 has 144 divisors (see below), whose sum is σ = 16581583418400. Its totient is φ = 1628945860608.

The previous prime is 5354234312533. The next prime is 5354234312569. The reversal of 5354234312544 is 4452134324535.

5354234312544 is a `hidden beast` number, since 5 + 3 + 5 + 42 + 34 + 31 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5354234312544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7700964 + ... + 8367395.

It is an arithmetic number, because the mean of its divisors is an integer number (115149884850).

Almost surely, 25354234312544 is an apocalyptic number.

It is an amenable number.

5354234312544 is an abundant number, since it is smaller than the sum of its proper divisors (11227349105856).

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

5354234312544 is a wasteful number, since it uses less digits than its factorization.

5354234312544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16068477 (or 16068466 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

The spelling of 5354234312544 in words is "five trillion, three hundred fifty-four billion, two hundred thirty-four million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 89 96 104 117 144 156 178 208 234 267 288 312 356 416 468 534 624 712 801 936 1068 1157 1248 1424 1602 1872 2136 2314 2848 3204 3471 3744 4272 4628 6408 6942 8544 9256 10413 12816 13884 18512 20826 25632 27768 37024 41652 55536 83304 111072 166608 333216 16068359 32136718 48205077 64273436 96410154 128546872 144615231 192820308 208888667 257093744 289230462 385640616 417777334 514187488 578460924 626666001 771281232 835554668 1156921848 1253332002 1430083951 1542562464 1671109336 1879998003 2313843696 2506664004 2860167902 3342218672 3759996006 4290251853 4627687392 5013328008 5720335804 6684437344 7519992012 8580503706 10026656016 11440671608 12870755559 15039984024 17161007412 18591091363 20053312032 22881343216 25741511118 30079968048 34322014824 37182182726 45762686432 51483022236 55773274089 60159936096 68644029648 74364365452 102966044472 111546548178 137288059296 148728730904 167319822267 205932088944 223093096356 297457461808 334639644534 411864177888 446186192712 594914923616 669279289068 892372385424 1338558578136 1784744770848 2677117156272 5354234312544