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18194411136 = 273119374597
BaseRepresentation
bin10000111100011110…
…001010111010000000
31201221222222211222010
4100330132022322000
5244230232124021
612205225212520
71212605641266
oct207436127200
951858884863
1018194411136
1177972a8420
123639331140
13193c5aba65
14c48596436
157174ab976
hex43c78ae80

18194411136 has 128 divisors (see below), whose sum is σ = 52790189760. Its totient is φ = 5506375680.

The previous prime is 18194411113. The next prime is 18194411161. The reversal of 18194411136 is 63111449181.

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

It is a junction number, because it is equal to n+sod(n) for n = 18194411094 and 18194411103.

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, 3955590 + ... + 3960186.

Almost surely, 218194411136 is an apocalyptic number.

18194411136 is a gapful number since it is divisible by the number (16) 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 18194411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26395094880).

18194411136 is an abundant number, since it is smaller than the sum of its proper divisors (34595778624).

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

18194411136 is a wasteful number, since it uses less digits than its factorization.

18194411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5550 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The spelling of 18194411136 in words is "eighteen billion, one hundred ninety-four million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 937 1056 1408 1874 2112 2811 3748 4224 4597 5622 7496 9194 10307 11244 13791 14992 18388 20614 22488 27582 29984 30921 36776 41228 44976 50567 55164 59968 61842 73552 82456 89952 101134 110328 119936 123684 147104 151701 164912 179904 202268 220656 247368 294208 303402 329824 359808 404536 441312 494736 588416 606804 659648 809072 882624 989472 1213608 1319296 1618144 1765248 1978944 2427216 3236288 3957888 4307389 4854432 6472576 8614778 9708864 12922167 17229556 19417728 25844334 34459112 47381279 51688668 68918224 94762558 103377336 137836448 142143837 189525116 206754672 275672896 284287674 379050232 413509344 551345792 568575348 758100464 827018688 1137150696 1516200928 1654037376 2274301392 3032401856 4548602784 6064803712 9097205568 18194411136