Search a number
-
+
51520531024 = 241719231492909
BaseRepresentation
bin101111111110110111…
…001110101001010000
311220222112222011001201
4233332313032221100
51321003223443044
635400155440544
73502504200544
oct577667165120
9156875864051
1051520531024
111a938aa6566
129b9a156154
134b20aa0021
1426ca659a24
1515180e77d4
hexbfedcea50

51520531024 has 160 divisors (see below), whose sum is σ = 116912160000. Its totient is φ = 21815304192.

The previous prime is 51520530991. The next prime is 51520531031. The reversal of 51520531024 is 42013502515.

51520531024 is a modest number, since divided by 531024 gives 51520 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 51520530983 and 51520531001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17709282 + ... + 17712190.

It is an arithmetic number, because the mean of its divisors is an integer number (730701000).

Almost surely, 251520531024 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 51520531024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58456080000).

51520531024 is an abundant number, since it is smaller than the sum of its proper divisors (65391628976).

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

51520531024 is a wasteful number, since it uses less digits than its factorization.

51520531024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 51520531024 in words is "fifty-one billion, five hundred twenty million, five hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 68 76 92 136 149 152 184 272 298 304 323 368 391 437 596 646 782 874 1192 1292 1564 1748 2384 2533 2584 2831 2909 3128 3427 3496 5066 5168 5662 5818 6256 6854 6992 7429 10132 11324 11636 13708 14858 20264 22648 23272 27416 29716 40528 45296 46544 48127 49453 54832 55271 58259 59432 65113 66907 96254 98906 110542 116518 118864 130226 133814 192508 197812 221084 233036 260452 267628 385016 395624 433441 442168 466072 520904 535256 770032 791248 866882 884336 932144 939607 1041808 1070512 1106921 1137419 1271233 1733764 1879214 2213842 2274838 2542466 3467528 3758428 4427684 4549676 5084932 6935056 7368497 7516856 8235379 8855368 9099352 9969143 10169864 14736994 15033712 16470758 17710736 18198704 19938286 20339728 21610961 29473988 32941516 39876572 43221922 58947976 65883032 79753144 86443844 117895952 131766064 140001443 159506288 169475431 172887688 189413717 280002886 338950862 345775376 378827434 560005772 677901724 757654868 1120011544 1355803448 1515309736 2240023088 2711606896 3030619472 3220033189 6440066378 12880132756 25760265512 51520531024