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18534166656 = 273137571617
BaseRepresentation
bin10001010000101110…
…001111000010000000
31202211200022012220220
4101100232033002000
5300424221313111
612303043303040
71224202550205
oct212056170200
952750265826
1018534166656
117951065805
12371307aa80
131994ab9025
14c7b757cac
1573721ee06
hex450b8f080

18534166656 has 128 divisors (see below), whose sum is σ = 49758096960. Its totient is φ = 6112296960.

The previous prime is 18534166643. The next prime is 18534166661. The reversal of 18534166656 is 65666143581.

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 = 18534166599 and 18534166608.

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, 30038860 + ... + 30039476.

Almost surely, 218534166656 is an apocalyptic number.

18534166656 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 18534166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879048480).

18534166656 is an abundant number, since it is smaller than the sum of its proper divisors (31223930304).

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

18534166656 is a wasteful number, since it uses less digits than its factorization.

18534166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 18534166656 in words is "eighteen billion, five hundred thirty-four million, one hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 571 617 822 1096 1142 1234 1644 1713 1851 2192 2284 2468 3288 3426 3702 4384 4568 4936 6576 6852 7404 8768 9136 9872 13152 13704 14808 17536 18272 19744 26304 27408 29616 36544 39488 52608 54816 59232 73088 78227 78976 84529 109632 118464 156454 169058 219264 234681 236928 253587 312908 338116 352307 469362 507174 625816 676232 704614 938724 1014348 1056921 1251632 1352464 1409228 1877448 2028696 2113842 2503264 2704928 2818456 3754896 4057392 4227684 5006528 5409856 5636912 7509792 8114784 8455368 10013056 10819712 11273824 15019584 16229568 16910736 22547648 30039168 32459136 33821472 45095296 48266059 67642944 96532118 135285888 144798177 193064236 289596354 386128472 579192708 772256944 1158385416 1544513888 2316770832 3089027776 4633541664 6178055552 9267083328 18534166656