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18144553692992 = 267994113212887
BaseRepresentation
bin1000010000000100110111…
…01011010110111101000000
32101020121021010220002212212
410020002123223112331000
54334240021221133432
6102331254244241252
73551620645441646
oct410023353267500
971217233802785
1018144553692992
115866075594331
1220506523a0228
13a18040b6745c
1446a2b5ac1196
15216eac7722b2
hex10809bad6f40

18144553692992 has 112 divisors (see below), whose sum is σ = 36540396433920. Its totient is φ = 8938048204800.

The previous prime is 18144553692977. The next prime is 18144553693027. The reversal of 18144553692992 is 29929635544181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6284914973 + ... + 6284917859.

Almost surely, 218144553692992 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 18144553692992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270198216960).

18144553692992 is an abundant number, since it is smaller than the sum of its proper divisors (18395842740928).

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

18144553692992 is a wasteful number, since it uses less digits than its factorization.

18144553692992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5230 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 68.

The spelling of 18144553692992 in words is "eighteen trillion, one hundred forty-four billion, five hundred fifty-three million, six hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 941 1264 1321 1882 2528 2642 2887 3764 5056 5284 5774 7528 10568 11548 15056 21136 23096 30112 42272 46192 60224 74339 84544 92384 104359 148678 184768 208718 228073 297356 417436 456146 594712 834872 912292 1189424 1243061 1669744 1824584 2378848 2486122 2716667 3339488 3649168 3813727 4757696 4972244 5433334 6678976 7298336 7627454 9944488 10866668 14596672 15254908 19888976 21733336 30509816 39777952 43466672 61019632 79555904 86933344 98201819 122039264 173866688 196403638 214616693 244078528 301284433 392807276 429233386 602568866 785614552 858466772 1205137732 1571229104 1716933544 2410275464 3142458208 3433867088 3588717107 4820550928 6284916416 6867734176 7177434214 9641101856 13735468352 14354868428 19282203712 28709736856 57419473712 114838947424 229677894848 283508651453 567017302906 1134034605812 2268069211624 4536138423248 9072276846496 18144553692992