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18942968448 = 27342636947
BaseRepresentation
bin10001101001000101…
…101100001010000000
31210220011112111120000
4101221011230022000
5302243344442243
612411405320000
71240265401155
oct215105541200
953804474500
1018942968448
1180408a2628
123807b66000
131a2b6bc991
14cb9b7022c
1575d0715d3
hex46916c280

18942968448 has 160 divisors (see below), whose sum is σ = 56596462560. Its totient is φ = 6289408512.

The previous prime is 18942968411. The next prime is 18942968449. The reversal of 18942968448 is 84486924981.

18942968448 is a `hidden beast` number, since 18 + 94 + 2 + 96 + 8 + 448 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18942968449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2723311 + ... + 2730257.

It is an arithmetic number, because the mean of its divisors is an integer number (353727891).

Almost surely, 218942968448 is an apocalyptic number.

18942968448 is a gapful number since it is divisible by the number (18) 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 18942968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28298231280).

18942968448 is an abundant number, since it is smaller than the sum of its proper divisors (37653494112).

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

18942968448 is an equidigital number, since it uses as much as digits as its factorization.

18942968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7215 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 18942968448 in words is "eighteen billion, nine hundred forty-two million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 263 288 324 384 432 526 576 648 789 864 1052 1152 1296 1578 1728 2104 2367 2592 3156 3456 4208 4734 5184 6312 6947 7101 8416 9468 10368 12624 13894 14202 16832 18936 20841 21303 25248 27788 28404 33664 37872 41682 42606 50496 55576 56808 62523 75744 83364 85212 100992 111152 113616 125046 151488 166728 170424 187569 222304 227232 250092 302976 333456 340848 375138 444608 454464 500184 562707 666912 681696 750276 889216 908928 1000368 1125414 1333824 1363392 1500552 1827061 2000736 2250828 2667648 2726784 3001104 3654122 4001472 4501656 5481183 6002208 7308244 8002944 9003312 10962366 12004416 14616488 16443549 18006624 21924732 24008832 29232976 32887098 36013248 43849464 49330647 58465952 65774196 72026496 87698928 98661294 116931904 131548392 147991941 175397856 197322588 233863808 263096784 295983882 350795712 394645176 526193568 591967764 701591424 789290352 1052387136 1183935528 1578580704 2104774272 2367871056 3157161408 4735742112 6314322816 9471484224 18942968448