Search a number
-
+
31606045555032 = 23341317220700279
BaseRepresentation
bin1110010111110110110110…
…00111100011100101011000
311010220111201122202020220000
413023323123013203211120
513120313140130230112
6151115341125133000
76441314162354154
oct713733307434530
9133814648666800
1031606045555032
11a086059825513
12366556885a160
13148358b9c1190
147b3a52944064
1539c22bee37dc
hex1cbedb1e3958

31606045555032 has 160 divisors (see below), whose sum is σ = 100943894066400. Its totient is φ = 9152881929216.

The previous prime is 31606045555001. The next prime is 31606045555033. The reversal of 31606045555032 is 23055554060613.

31606045555032 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 60 + 4 + 5 + 5 + 550 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31606045555033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110206932 + ... + 110493347.

It is an arithmetic number, because the mean of its divisors is an integer number (630899337915).

Almost surely, 231606045555032 is an apocalyptic number.

It is an amenable number.

31606045555032 is an abundant number, since it is smaller than the sum of its proper divisors (69337848511368).

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

31606045555032 is a wasteful number, since it uses less digits than its factorization.

31606045555032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220700327 (or 220700314 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 31606045555032 in words is "thirty-one trillion, six hundred six billion, forty-five million, five hundred fifty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 612 648 663 702 884 918 936 1053 1224 1326 1377 1404 1768 1836 1989 2106 2652 2754 2808 3672 3978 4212 5304 5508 5967 7956 8424 11016 11934 15912 17901 23868 35802 47736 71604 143208 220700279 441400558 662100837 882801116 1324201674 1765602232 1986302511 2648403348 2869103627 3751904743 3972605022 5296806696 5738207254 5958907533 7503809486 7945210044 8607310881 11255714229 11476414508 11917815066 15007618972 15890420088 17214621762 17876722599 22511428458 22952829016 23835630132 25821932643 30015237944 33767142687 34429243524 35753445198 45022856916 47671260264 48774761659 51643865286 67534285374 68858487048 71506890396 77465797929 90045713832 97549523318 101301428061 103287730572 135068570748 143013780792 146324284977 154931595858 195099046636 202602856122 206575461144 232397393787 270137141496 292648569954 303904284183 309863191716 390198093272 405205712244 438972854931 464794787574 585297139908 607808568366 619726383432 810411424488 877945709862 929589575148 1170594279816 1215617136732 1316918564793 1755891419724 1859179150296 2431234273464 2633837129586 3511782839448 3950755694379 5267674259172 7901511388758 10535348518344 15803022777516 31606045555032