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18090466752064 = 2671914811435037
BaseRepresentation
bin1000001110100000000111…
…10110000011011001000000
32101001102122201202211021111
410013100003312003121000
54332343233442031224
6102250351245333104
73544664426150350
oct407200366033100
971042581684244
1018090466752064
11584513a956053
122042078867194
13a12c014855b5
14467824688b60
152158941d1d94
hex107403d83640

18090466752064 has 112 divisors (see below), whose sum is σ = 43215078741120. Its totient is φ = 7340036935680.

The previous prime is 18090466752053. The next prime is 18090466752079. The reversal of 18090466752064 is 46025766409081.

It is a tau number, because it is divible by the number of its divisors (112).

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, 11888754 + ... + 13323790.

Almost surely, 218090466752064 is an apocalyptic number.

18090466752064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18090466752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607539370560).

18090466752064 is an abundant number, since it is smaller than the sum of its proper divisors (25124611989056).

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

18090466752064 is a wasteful number, since it uses less digits than its factorization.

18090466752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436556 (or 1436546 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 18090466752064 in words is "eighteen trillion, ninety billion, four hundred sixty-six million, seven hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 1481 2128 2962 4256 5924 8512 10367 11848 20734 23696 28139 41468 47392 56278 82936 94784 112556 165872 196973 225112 331744 393946 450224 663488 787892 900448 1435037 1575784 1800896 2870074 3151568 5740148 6303136 10045259 11480296 12606272 20090518 22960592 27265703 40181036 45921184 54531406 80362072 91842368 109062812 160724144 190859921 218125624 321448288 381719842 436251248 642896576 763439684 872502496 1526879368 1745004992 2125289797 3053758736 4250579594 6107517472 8501159188 12215034944 14877028579 17002318376 29754057158 34004636752 40380506143 59508114316 68009273504 80761012286 119016228632 136018547008 161522024572 238032457264 282663543001 323044049144 476064914528 565327086002 646088098288 952129829056 1130654172004 1292176196576 2261308344008 2584352393152 4522616688016 9045233376032 18090466752064