Search a number
-
+
5343044725530 = 2345292237101681
BaseRepresentation
bin100110111000000011001…
…0010000110101100011010
3200220210022222021202220000
41031300012102012230122
51200020023422204110
615210321051313430
71061010425550231
oct115600622065432
920823288252800
105343044725530
11177aa77500196
12723626a4b876
132c9b019b9365
141468675c1b18
1593eb8d431c0
hex4dc06486b1a

5343044725530 has 160 divisors (see below), whose sum is σ = 14869052407440. Its totient is φ = 1375051991040.

The previous prime is 5343044725523. The next prime is 5343044725583. The reversal of 5343044725530 is 355274403435.

It is a happy number.

5343044725530 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 0 + 44 + 72 + 5 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2777592225321 + 2565452500209 = 1666611^2 + 1601703^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52496290 + ... + 52597970.

Almost surely, 25343044725530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343044725530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434526203720).

5343044725530 is an abundant number, since it is smaller than the sum of its proper divisors (9526007681910).

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

5343044725530 is a wasteful number, since it uses less digits than its factorization.

5343044725530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103966 (or 103957 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 45.

The spelling of 5343044725530 in words is "five trillion, three hundred forty-three billion, forty-four million, seven hundred twenty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2237 2349 2610 3915 4474 4698 6711 7830 11185 11745 13422 20133 22370 23490 33555 40266 60399 64873 67110 100665 101681 120798 129746 181197 194619 201330 203362 301995 305043 324365 362394 389238 508405 583857 603990 610086 648730 905985 915129 973095 1016810 1167714 1525215 1751571 1811970 1830258 1946190 2745387 2919285 2948749 3050430 3503142 4575645 5254713 5490774 5838570 5897498 8236161 8757855 8846247 9151290 10509426 13726935 14743745 16472322 17515710 17692494 26273565 26538741 27453870 29487490 41180805 44231235 52547130 53077482 79616223 82361610 88462470 132693705 159232446 227460397 238848669 265387410 398081115 454920794 477697338 682381191 796162230 1137301985 1194243345 1364762382 2047143573 2274603970 2388486690 3411905955 4094287146 6141430719 6596351513 6823811910 10235717865 12282861438 13192703026 18424292157 19789054539 20471435730 30707153595 32981757565 36848584314 39578109078 59367163617 61414307190 65963515130 92121460785 98945272695 118734327234 178101490851 184242921570 197890545390 296835818085 356202981702 534304472553 593671636170 890507454255 1068608945106 1781014908510 2671522362765 5343044725530