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18470941216 = 2572137312413
BaseRepresentation
bin10001001100111101…
…000011001000100000
31202200021100000220221
4101030331003020200
5300312030104331
612252504212424
71222504260400
oct211475031040
952607300827
1018470941216
117919401582
1236b5a6a114
13198497cc20
14c731ba800
157318d1711
hex44cf43220

18470941216 has 144 divisors (see below), whose sum is σ = 46183506264. Its totient is φ = 7206506496.

The previous prime is 18470941211. The next prime is 18470941253. The reversal of 18470941216 is 61214907481.

It can be written as a sum of positive squares in 4 ways, for example, as 11578620816 + 6892320400 = 107604^2 + 83020^2 .

It is not an unprimeable number, because it can be changed into a prime (18470941211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1481826 + ... + 1494238.

Almost surely, 218470941216 is an apocalyptic number.

18470941216 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 18470941216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091753132).

18470941216 is an abundant number, since it is smaller than the sum of its proper divisors (27712565048).

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

18470941216 is a wasteful number, since it uses less digits than its factorization.

18470941216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 18470941216 in words is "eighteen billion, four hundred seventy million, nine hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 73 91 98 104 112 146 182 196 208 224 292 364 392 416 511 584 637 728 784 949 1022 1168 1274 1456 1568 1898 2044 2336 2548 2912 3577 3796 4088 5096 6643 7154 7592 8176 10192 12413 13286 14308 15184 16352 20384 24826 26572 28616 30368 46501 49652 53144 57232 86891 93002 99304 106288 114464 161369 173782 186004 198608 212576 322738 347564 372008 397216 608237 645476 695128 744016 906149 1129583 1216474 1290952 1390256 1488032 1812298 2259166 2432948 2581904 2780512 3624596 4518332 4865896 5163808 6343043 7249192 7907081 9036664 9731792 11779937 12686086 14498384 15814162 18073328 19463584 23559874 25372172 28996768 31628324 36146656 44401301 47119748 50744344 63256648 82459559 88802602 94239496 101488688 126513296 164919118 177605204 188478992 202977376 253026592 329838236 355210408 376957984 577216913 659676472 710420816 1154433826 1319352944 1420841632 2308867652 2638705888 4617735304 9235470608 18470941216