Search a number
-
+
45068687851968 = 263411790345957
BaseRepresentation
bin10100011111101010111110…
…01000010100000111000000
312220120112011100100112220000
422033311133020110013000
521401401133042230333
6235504134103520000
712331051045651104
oct1217653710240700
9186515140315800
1045068687851968
11133a6583399440
12507a744459000
131c1bc60ca6c01
14b1b49c4b3904
1553251775e713
hex28fd5f2141c0

45068687851968 has 140 divisors (see below), whose sum is σ = 145742956039032. Its totient is φ = 13657178119680.

The previous prime is 45068687851963. The next prime is 45068687851969. The reversal of 45068687851968 is 86915878686054.

45068687851968 is a `hidden beast` number, since 450 + 6 + 8 + 6 + 8 + 78 + 5 + 1 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45068687851963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 395115955 + ... + 395230002.

Almost surely, 245068687851968 is an apocalyptic number.

45068687851968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45068687851968 is an abundant number, since it is smaller than the sum of its proper divisors (100674268187064).

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

45068687851968 is a wasteful number, since it uses less digits than its factorization.

45068687851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790345992 (or 790345973 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 81.

The spelling of 45068687851968 in words is "forty-five trillion, sixty-eight billion, six hundred eighty-seven million, eight hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 790345957 1580691914 2371037871 3161383828 4742075742 6322767656 7113113613 8693805527 9484151484 12645535312 14226227226 17387611054 18968302968 21339340839 25291070624 26081416581 28452454452 34775222108 37936605936 42678681678 50582141248 52162833162 56904908904 64018022517 69550444216 75873211872 78244249743 85357363356 104325666324 113809817808 128036045034 139100888432 151746423744 156488499486 170714726712 208651332648 227619635616 234732749229 256072090068 278201776864 312976998972 341429453424 417302665296 455239271232 469465498458 512144180136 556403553728 625953997944 682858906848 704198247687 834605330592 938930996916 1024288360272 1251907995888 1365717813696 1408396495374 1669210661184 1877861993832 2048576720544 2503815991776 2816792990748 3755723987664 4097153441088 5007631983552 5633585981496 7511447975328 11267171962992 15022895950656 22534343925984 45068687851968