Search a number
-
+
5235340435325 = 5271121331161153
BaseRepresentation
bin100110000101111001010…
…0110110101111101111101
3200112111022212122221022122
41030023302212311331331
51141233434122412300
615045025430452325
71050145421312240
oct114136246657575
920474285587278
105235340435325
111739328210900
12706788b040a5
132bc8c8cc1920
1414156b271257
15912b3570c85
hex4c2f29b5f7d

5235340435325 has 144 divisors (see below), whose sum is σ = 8810708245248. Its totient is φ = 3002807808000.

The previous prime is 5235340435267. The next prime is 5235340435331.

It is a happy number.

5235340435325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5235340435325 - 210 = 5235340434301 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85579949 + ... + 85641101.

Almost surely, 25235340435325 is an apocalyptic number.

5235340435325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5235340435325 is a deficient number, since it is larger than the sum of its proper divisors (3575367809923).

5235340435325 is a wasteful number, since it uses less digits than its factorization.

5235340435325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61516 (or 61500 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 44.

The spelling of 5235340435325 in words is "five trillion, two hundred thirty-five billion, three hundred forty million, four hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 121 143 175 275 311 325 385 455 605 715 847 1001 1555 1573 1925 2177 2275 3025 3421 3575 4043 4235 5005 7775 7865 10885 11011 17105 20215 21175 23947 25025 28301 37631 39325 44473 54425 55055 61153 85525 101075 119735 141505 188155 222365 263417 275275 305765 311311 428071 489203 598675 672683 707525 794989 940775 1111825 1317085 1528825 1556555 2140355 2446015 3363415 3424421 3974945 4708781 5564923 6585425 7399513 7782775 8744879 10701775 12230075 16817075 17122105 19018583 19874725 23543905 27824615 36997565 43724395 51796591 61214153 85610525 95092915 96193669 117719525 133130081 139123075 184987825 209204413 218621975 247241579 258982955 306070765 475464575 480968345 665650405 673355683 1046022065 1236207895 1294914775 1464430891 1530353825 1730691053 2301248543 2404841725 2719657369 3328252025 3366778415 5230110325 6181039475 7322154455 8653455265 11506242715 13598286845 16108739801 16833892075 19037601583 29916231059 36610772275 43267276325 57531213575 67991434225 80543699005 95188007915 149581155295 209413617413 402718495025 475940039575 747905776475 1047068087065 5235340435325