Search a number
-
+
51949481715369 = 3372959233689467
BaseRepresentation
bin10111100111111011011100…
…11001110110011010101001
320210221022200200221100122000
423303331232121312122221
523302120014304342434
6302253132404121213
713641140404533420
oct1363755631663251
9223838620840560
1051949481715369
1115609719120a17
1259b01a8396209
1322caa79a2cb24
14cb85229b22b7
156014d2a1bb99
hex2f3f6e6766a9

51949481715369 has 128 divisors (see below), whose sum is σ = 92929254912000. Its totient is φ = 28055022395904.

The previous prime is 51949481715367. The next prime is 51949481715377. The reversal of 51949481715369 is 96351718494915.

51949481715369 is a `hidden beast` number, since 5 + 1 + 9 + 4 + 9 + 4 + 81 + 7 + 1 + 536 + 9 = 666.

It is not a de Polignac number, because 51949481715369 - 21 = 51949481715367 is a prime.

It is a super-2 number, since 2×519494817153692 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51949481715297 and 51949481715306.

It is not an unprimeable number, because it can be changed into a prime (51949481715367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75002574 + ... + 75692040.

It is an arithmetic number, because the mean of its divisors is an integer number (726009804000).

Almost surely, 251949481715369 is an apocalyptic number.

51949481715369 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

51949481715369 is a deficient number, since it is larger than the sum of its proper divisors (40979773196631).

51949481715369 is a wasteful number, since it uses less digits than its factorization.

51949481715369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689804 (or 689798 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 51949481715369 in words is "fifty-one trillion, nine hundred forty-nine billion, four hundred eighty-one million, seven hundred fifteen thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 27 29 59 63 87 177 189 203 233 261 413 531 609 699 783 1239 1593 1631 1711 1827 2097 3717 4893 5133 5481 6291 6757 11151 11977 13747 14679 15399 20271 35931 41241 44037 46197 47299 60813 96229 107793 123723 141897 182439 288687 323379 371169 398663 425691 689467 866061 1195989 1277073 2068401 2598183 2790641 3587967 4826269 6205203 8371923 10763901 14478807 18615609 19994543 25115769 40678553 43436421 59983629 75347307 122035659 130309263 139961801 160645811 179950887 284749871 366106977 419885403 481937433 539852661 854249613 1098320931 1124520677 1179678037 1259656209 1445812299 2562748839 3373562031 3539034111 3778968627 4337436897 4658728519 7688246517 8257746259 9478102849 10120686093 10617102333 13976185557 24773238777 28434308547 30362058279 31851306999 32611099633 41928556671 66346719943 74319716331 85302925641 97833298899 125785670013 199040159829 222959148993 255908776923 274864982621 293499896697 597120479487 824594947863 880499690091 1791361438461 1924054878347 2473784843589 5772164635041 7421354530767 17316493905123 51949481715369