Search a number
-
+
5303432300432 = 247835938771097
BaseRepresentation
bin100110100101100110100…
…1100101100011110010000
3200210000002022112002012112
41031023031030230132100
51143342412132103212
615140210235444452
71055105665521350
oct115131514543620
920700068462175
105303432300432
11176519a300992
12717a108b6728
132c615b017a76
1414498a6a2b60
1592e4b3b8422
hex4d2cd32c790

5303432300432 has 160 divisors (see below), whose sum is σ = 11929280977152. Its totient is φ = 2237131210752.

The previous prime is 5303432300431. The next prime is 5303432300513. The reversal of 5303432300432 is 2340032343035.

It is not an unprimeable number, because it can be changed into a prime (5303432300431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834486508 + ... + 4834487604.

Almost surely, 25303432300432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303432300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964640488576).

5303432300432 is an abundant number, since it is smaller than the sum of its proper divisors (6625848676720).

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

5303432300432 is a wasteful number, since it uses less digits than its factorization.

5303432300432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 32.

Adding to 5303432300432 its reverse (2340032343035), we get a palindrome (7643464643467).

The spelling of 5303432300432 in words is "five trillion, three hundred three billion, four hundred thirty-two million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 593 664 877 1097 1162 1186 1328 1754 2194 2324 2372 3508 4151 4388 4648 4744 6139 7016 7679 8302 8776 9296 9488 12278 14032 15358 16604 17552 24556 30716 33208 49112 49219 61432 66416 72791 91051 98224 98438 122864 145582 182102 196876 291164 344533 364204 393752 509537 520061 582328 637357 650521 689066 728408 787504 962069 1019074 1040122 1164656 1274714 1301042 1378132 1456816 1924138 2038148 2080244 2549428 2602084 2756264 3640427 3848276 4076296 4160488 4553647 5098856 5204168 5512528 6734483 7280854 7696552 8152592 8320976 9107294 10197712 10408336 13468966 14561708 15393104 18214588 26937932 29123416 36429176 43165063 53875864 53993243 58246832 72858352 79851727 86330126 107751728 107986486 159703454 172660252 215972972 302155441 319406908 345320504 377952701 431945944 558962089 570506917 604310882 638813816 690641008 755905402 863891888 1117924178 1141013834 1208621764 1277627632 1511810804 2235848356 2282027668 2417243528 3023621608 3993548419 4471696712 4564055336 4834487056 6047243216 7987096838 8943393424 9128110672 15974193676 31948387352 47352074111 63896774704 94704148222 189408296444 331464518777 378816592888 662929037554 757633185776 1325858075108 2651716150216 5303432300432