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18133122112 = 267199672203
BaseRepresentation
bin10000111000110100…
…010111110001000000
31201210201200001020021
4100320310113301000
5244114034401422
612155155423224
71211232665140
oct207064276100
951721601207
1018133122112
117765747036
1236208b4b14
13192c9a0171
14c403a0920
15711e01dc7
hex438d17c40

18133122112 has 112 divisors (see below), whose sum is σ = 43352151040. Its totient is φ = 7351368192.

The previous prime is 18133122107. The next prime is 18133122121. The reversal of 18133122112 is 21122133181.

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, 8230003 + ... + 8232205.

Almost surely, 218133122112 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 18133122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21676075520).

18133122112 is an abundant number, since it is smaller than the sum of its proper divisors (25219028928).

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

18133122112 is a wasteful number, since it uses less digits than its factorization.

18133122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3198 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

Adding to 18133122112 its reverse (21122133181), we get a palindrome (39255255293).

The spelling of 18133122112 in words is "eighteen billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 967 1064 1216 1934 2128 2203 3868 4256 4406 6769 7736 8512 8812 13538 15421 15472 17624 18373 27076 30842 30944 35248 36746 41857 54152 61684 61888 70496 73492 83714 108304 123368 128611 140992 146984 167428 216608 246736 257222 292999 293968 334856 433216 493472 514444 585998 587936 669712 986944 1028888 1171996 1175872 1339424 2057776 2130301 2343992 2678848 4115552 4260602 4687984 8231104 8521204 9375968 14912107 17042408 18751936 29824214 34084816 40475719 59648428 68169632 80951438 119296856 136339264 161902876 238593712 283330033 323805752 477187424 566660066 647611504 954374848 1133320132 1295223008 2266640264 2590446016 4533280528 9066561056 18133122112