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61760340495568 = 241113612711632881
BaseRepresentation
bin11100000101011101100110…
…01010000000110011010000
322002200020020022121010001101
432002232303022000303100
531043340134131324233
6335204150404314144
716003015545316231
oct1602566312006320
9262606208533041
1061760340495568
1118751460137050
126b156990a2954
13285cc8a44a1c0
141137305c4d088
157217dc981c7d
hex382bb3280cd0

61760340495568 has 160 divisors (see below), whose sum is σ = 143412290025984. Its totient is φ = 25394549760000.

The previous prime is 61760340495541. The next prime is 61760340495587. The reversal of 61760340495568 is 86559404306716.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37006488 + ... + 38639368.

Almost surely, 261760340495568 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 61760340495568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71706145012992).

61760340495568 is an abundant number, since it is smaller than the sum of its proper divisors (81651949530416).

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

61760340495568 is a wasteful number, since it uses less digits than its factorization.

61760340495568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633245 (or 1633239 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 61760340495568 in words is "sixty-one trillion, seven hundred sixty billion, three hundred forty million, four hundred ninety-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 61 88 104 122 143 176 208 244 271 286 488 542 572 671 793 976 1084 1144 1342 1586 2168 2288 2684 2981 3172 3523 4336 5368 5962 6344 7046 8723 10736 11924 12688 14092 16531 17446 23848 28184 33062 34892 38753 47696 56368 66124 69784 77506 132248 139568 155012 181841 214903 264496 310024 363682 429806 620048 727364 859612 1454728 1632881 1719224 2363933 2909456 3265762 3438448 4727866 6531524 9455732 13063048 17961691 18911464 21227453 26126096 35923382 37822928 42454906 71846764 84909812 99605741 143693528 169819624 199211482 233501983 287387056 339639248 398422964 442510751 467003966 796845928 885021502 934007932 1095663151 1294874633 1593691856 1770043004 1868015864 2191326302 2589749266 3540086008 3736031728 4382652604 4867618261 5179498532 5752639763 7080172016 8765305208 9735236522 10358997064 11505279526 14243620963 17530610416 19470473044 20717994128 23010559052 26993155811 28487241926 38940946088 46021118104 53986311622 56974483852 63279037393 77881892176 92042236208 107972623244 113948967704 126558074786 215945246488 227897935408 253116149572 296924713921 350911025543 431890492976 506232299144 593849427842 701822051086 1012464598288 1187698855684 1403644102172 2375397711368 2807288204344 3860021280973 4750795422736 5614576408688 7720042561946 15440085123892 30880170247784 61760340495568