Search a number
-
+
53131819482 = 2337179478731
BaseRepresentation
bin110001011110111001…
…110011100111011010
312002010211220002022000
4301132321303213122
51332303221210412
640224115141430
73560441004540
oct613671634732
9162124802260
1053131819482
1120595588415
12a3698a4876
135019858c51
14280064bd90
1515ae7c64dc
hexc5ee739da

53131819482 has 128 divisors (see below), whose sum is σ = 143042734080. Its totient is φ = 14270826240.

The previous prime is 53131819451. The next prime is 53131819501. The reversal of 53131819482 is 28491813135.

53131819482 is a `hidden beast` number, since 531 + 31 + 8 + 1 + 9 + 4 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6081057 + ... + 6089787.

It is an arithmetic number, because the mean of its divisors is an integer number (1117521360).

Almost surely, 253131819482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53131819482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71521367040).

53131819482 is an abundant number, since it is smaller than the sum of its proper divisors (89910914598).

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

53131819482 is a wasteful number, since it uses less digits than its factorization.

53131819482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713 (or 9707 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 53131819482 in words is "fifty-three billion, one hundred thirty-one million, eight hundred nineteen thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 947 1071 1894 2142 2841 3213 5682 6426 6629 8523 8731 13258 16099 17046 17462 19887 25569 26193 32198 39774 48297 51138 52386 59661 61117 78579 96594 112693 119322 122234 144891 148427 157158 178983 183351 225386 235737 289782 296854 338079 357966 366702 434673 445281 471474 550053 676158 869346 890562 1014237 1038989 1100106 1335843 1650159 2028474 2077978 2671686 3042711 3116967 3300318 4007529 6085422 6233934 8015058 8268257 9350901 16536514 18701802 24804771 28052703 49609542 56105406 57877799 74414313 115755598 140560369 148828626 173633397 223242939 281120738 347266794 421681107 446485878 520900191 843362214 983922583 1041800382 1265043321 1562700573 1967845166 2530086642 2951767749 3125401146 3795129963 5903535498 7590259926 8855303247 17710606494 26565909741 53131819482