Search a number
-
+
542032352253 = 3272310114532549
BaseRepresentation
bin1111110001100111010…
…01010101001111111101
31220211002011111102220200
413320303221111033331
532340040240233003
61053001202234113
754106031655360
oct7706351251775
91824064442820
10542032352253
1119996914a8a7
1289071655939
133c162294222
141c33d6ac0d7
15e175c6d6a3
hex7e33a553fd

542032352253 has 96 divisors (see below), whose sum is σ = 943950758400. Its totient is φ = 293015923200.

The previous prime is 542032352249. The next prime is 542032352269. The reversal of 542032352253 is 352253230245.

542032352253 is a `hidden beast` number, since 5 + 4 + 20 + 32 + 352 + 253 = 666.

It is not a de Polignac number, because 542032352253 - 22 = 542032352249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542032352053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212643823 + ... + 212646371.

It is an arithmetic number, because the mean of its divisors is an integer number (9832820400).

Almost surely, 2542032352253 is an apocalyptic number.

It is an amenable number.

542032352253 is a deficient number, since it is larger than the sum of its proper divisors (401918406147).

542032352253 is a wasteful number, since it uses less digits than its factorization.

542032352253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 542032352253 its reverse (352253230245), we get a palindrome (894285582498).

The spelling of 542032352253 in words is "five hundred forty-two billion, thirty-two million, three hundred fifty-two thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 23 63 69 101 161 207 303 483 707 909 1449 1453 2121 2323 2549 4359 6363 6969 7647 10171 13077 16261 17843 20907 22941 30513 33419 48783 53529 58627 91539 100257 146349 146753 160587 175881 233933 257449 300771 410389 440259 527643 701799 772347 1027271 1231167 1320777 1802143 2105397 2317041 3081813 3375319 3693501 3703697 5406429 5921327 9245439 10125957 11111091 16219287 17763981 23627233 25925879 30377871 33333273 41449289 53291943 70881699 77777637 85185031 124347867 212645097 233332911 255555093 373043601 374073397 596295217 766665279 1122220191 1788885651 2618513779 3366660573 5366656953 7855541337 8603688131 23566624011 25811064393 60225816917 77433193179 180677450751 542032352253