Search a number
-
+
56717094195072 = 273331529393427
BaseRepresentation
bin11001110010101011110100…
…10000001000111110000000
321102211002201210221022001000
430321111322100020332000
524413223102103220242
6320343250125412000
714642450316134253
oct1471257220107600
9242732653838030
1056717094195072
1117087648074983
1264401a010a000
1325855258a361c
14100119cadb09a
1568551d781a4c
hex33957a408f80

56717094195072 has 128 divisors (see below), whose sum is σ = 172794014899200. Its totient is φ = 18295836802560.

The previous prime is 56717094195049. The next prime is 56717094195101. The reversal of 56717094195072 is 27059149071765.

56717094195072 is a `hidden beast` number, since 56 + 7 + 1 + 70 + 9 + 4 + 1 + 9 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264589578 + ... + 264803849.

It is an arithmetic number, because the mean of its divisors is an integer number (1349953241400).

Almost surely, 256717094195072 is an apocalyptic number.

It is an amenable number.

56717094195072 is an abundant number, since it is smaller than the sum of its proper divisors (116076920704128).

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

56717094195072 is a wasteful number, since it uses less digits than its factorization.

56717094195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529393481 (or 529393463 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 56717094195072 in words is "fifty-six trillion, seven hundred seventeen billion, ninety-four million, one hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 107136 529393427 1058786854 1588180281 2117573708 3176360562 4235147416 4764540843 6352721124 8470294832 9529081686 12705442248 14293622529 16411196237 16940589664 19058163372 25410884496 28587245058 32822392474 33881179328 38116326744 49233588711 50821768992 57174490116 65644784948 67762358656 76232653488 98467177422 101643537984 114348980232 131289569896 147700766133 152465306976 196934354844 203287075968 228697960464 262579139792 295401532266 304930613952 393868709688 443102298399 457395920928 525158279584 590803064532 609861227904 787737419376 886204596798 914791841856 1050316559168 1181606129064 1575474838752 1772409193596 1829583683712 2100633118336 2363212258128 3150949677504 3544818387192 4726424516256 6301899355008 7089636774384 9452849032512 14179273548768 18905698065024 28358547097536 56717094195072