Search a number
-
+
5435385446475 = 3252171444998347
BaseRepresentation
bin100111100011000011000…
…1110000000000001001011
3201020121200100122102111200
41033012012032000001023
51203023132133241400
615320552005355243
71100456626665135
oct117060616000113
921217610572450
105435385446475
1118061524255a6
127394b7708b23
133057297404ca
1414b10730c055
15965c0936b00
hex4f18638004b

5435385446475 has 72 divisors (see below), whose sum is σ = 10308866864400. Its totient is φ = 2728133775360.

The previous prime is 5435385446453. The next prime is 5435385446479. The reversal of 5435385446475 is 5746445835345.

It is a happy number.

5435385446475 is a `hidden beast` number, since 5 + 4 + 3 + 53 + 8 + 54 + 464 + 75 = 666.

It is not a de Polignac number, because 5435385446475 - 211 = 5435385444427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5435385446479) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55218252 + ... + 55316598.

It is an arithmetic number, because the mean of its divisors is an integer number (143178706450).

Almost surely, 25435385446475 is an apocalyptic number.

5435385446475 is a deficient number, since it is larger than the sum of its proper divisors (4873481417925).

5435385446475 is a wasteful number, since it uses less digits than its factorization.

5435385446475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112829 (or 112821 counting only the distinct ones).

The product of its digits is 483840000, while the sum is 63.

The spelling of 5435385446475 in words is "five trillion, four hundred thirty-five billion, three hundred eighty-five million, four hundred forty-six thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 14449 43347 72245 98347 130041 216735 245633 295041 361225 491735 650205 736899 885123 1083675 1228165 1475205 1671899 2210697 2458675 3251025 3684495 4425615 5015697 6140825 7376025 8359495 11053485 15047091 18422475 22128075 25078485 41797475 55267425 75235455 125392425 376177275 1421015803 4263047409 7105079015 12789142227 21315237045 24157268651 35525395075 63945711135 72471805953 106576185225 120786343255 217415417859 319728555675 362359029765 603931716275 1087077089295 1811795148825 5435385446475