Search a number
-
+
18441841152 = 29378292069
BaseRepresentation
bin10001001011001110…
…000010101000000000
31202121020120121010210
4101023032002220000
5300232102404102
612245544354120
71222002030510
oct211316025000
952536517123
1018441841152
117903a36239
1236a8175940
13197b931757
14c6d3a3840
1572e08436c
hex44b382a00

18441841152 has 160 divisors (see below), whose sum is σ = 56243721600. Its totient is φ = 5260197888.

The previous prime is 18441841141. The next prime is 18441841169. The reversal of 18441841152 is 25114814481.

It is a self number, because there is not a number n which added to its sum of digits gives 18441841152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8912374 + ... + 8914442.

It is an arithmetic number, because the mean of its divisors is an integer number (351523260).

Almost surely, 218441841152 is an apocalyptic number.

18441841152 is a gapful number since it is divisible by the number (12) 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 18441841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28121860800).

18441841152 is an abundant number, since it is smaller than the sum of its proper divisors (37801880448).

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

18441841152 is an equidigital number, since it uses as much as digits as its factorization.

18441841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2910 counting only the distinct ones).

The product of its digits is 40960, while the sum is 39.

The spelling of 18441841152 in words is "eighteen billion, four hundred forty-one million, eight hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 829 896 1344 1536 1658 1792 2069 2487 2688 3316 3584 4138 4974 5376 5803 6207 6632 8276 9948 10752 11606 12414 13264 14483 16552 17409 19896 23212 24828 26528 28966 33104 34818 39792 43449 46424 49656 53056 57932 66208 69636 79584 86898 92848 99312 106112 115864 132416 139272 159168 173796 185696 198624 212224 231728 264832 278544 318336 347592 371392 397248 424448 463456 529664 557088 636672 695184 742784 794496 926912 1059328 1114176 1273344 1390368 1485568 1588992 1715201 1853824 2228352 2780736 2971136 3177984 3430402 3707648 4456704 5145603 5561472 6860804 7415296 8913408 10291206 11122944 12006407 13721608 20582412 22245888 24012814 27443216 36019221 41164824 48025628 54886432 72038442 82329648 96051256 109772864 144076884 164659296 192102512 219545728 288153768 329318592 384205024 439091456 576307536 658637184 768410048 878182912 1152615072 1317274368 1536820096 2305230144 2634548736 3073640192 4610460288 6147280384 9220920576 18441841152