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18281580016 = 247531072269
BaseRepresentation
bin10001000001101010…
…101100010111110000
31202012002000111012011
4101001222230113300
5244420041030031
612222021412304
71215014603050
oct210152542760
952162014164
1018281580016
117831525717
12366256a094
13195467c18b
14c55da7560
1571ee796b1
hex441aac5f0

18281580016 has 120 divisors (see below), whose sum is σ = 41788262880. Its totient is φ = 7586981376.

The previous prime is 18281580011. The next prime is 18281580017. The reversal of 18281580016 is 61008518281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18281580011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67961130 + ... + 67961398.

It is an arithmetic number, because the mean of its divisors is an integer number (348235524).

Almost surely, 218281580016 is an apocalyptic number.

18281580016 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 18281580016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894131440).

18281580016 is an abundant number, since it is smaller than the sum of its proper divisors (23506682864).

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

18281580016 is a wasteful number, since it uses less digits than its factorization.

18281580016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 40.

The spelling of 18281580016 in words is "eighteen billion, two hundred eighty-one million, five hundred eighty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 107 112 212 214 269 371 424 428 538 742 749 848 856 1076 1484 1498 1712 1883 2152 2968 2996 3766 4304 5671 5936 5992 7532 11342 11449 11984 14257 15064 22684 22898 28514 28783 30128 39697 45368 45796 57028 57566 79394 80143 90736 91592 99799 114056 115132 158788 160286 183184 199598 201481 228112 230264 317576 320572 399196 402962 460528 606797 635152 641144 798392 805924 1213594 1282288 1525499 1596784 1611848 2427188 3050998 3079781 3223696 4247579 4854376 6101996 6159562 8495158 9708752 10678493 12203992 12319124 16990316 21356986 21558467 24407984 24638248 33980632 42713972 43116934 49276496 67961264 85427944 86233868 163228393 170855888 172467736 326456786 344935472 652913572 1142598751 1305827144 2285197502 2611654288 4570395004 9140790008 18281580016