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18846053688 = 23371116196299
BaseRepresentation
bin10001100011010011…
…111111010100111000
31210122102011201111110
4101203103333110320
5302044042204223
612354024200320
71235010545640
oct214323772470
953572151443
1018846053688
117aa1119090
12379b6090a0
131a145b9577
14caad43520
157547cad93
hex4634ff538

18846053688 has 128 divisors (see below), whose sum is σ = 58786560000. Its totient is φ = 4891278720.

The previous prime is 18846053657. The next prime is 18846053689. The reversal of 18846053688 is 88635064881.

It is a happy number.

It is a super-2 number, since 2×188460536882 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18846053689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2988763 + ... + 2995061.

It is an arithmetic number, because the mean of its divisors is an integer number (459270000).

Almost surely, 218846053688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18846053688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280000).

18846053688 is an abundant number, since it is smaller than the sum of its proper divisors (39940506312).

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

18846053688 is a wasteful number, since it uses less digits than its factorization.

18846053688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7945 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 18846053688 in words is "eighteen billion, eight hundred forty-six million, fifty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1619 1848 3238 4857 6299 6476 9714 11333 12598 12952 17809 18897 19428 22666 25196 33999 35618 37794 38856 44093 45332 50392 53427 67998 69289 71236 75588 88186 90664 106854 124663 132279 135996 138578 142472 151176 176372 207867 213708 249326 264558 271992 277156 352744 373989 415734 427416 485023 498652 529116 554312 747978 831468 970046 997304 1058232 1455069 1495956 1662936 1940092 2910138 2991912 3880184 5820276 10198081 11640552 20396162 30594243 40792324 61188486 71386567 81584648 112178891 122376972 142773134 214159701 224357782 244753944 285546268 336536673 428319402 448715564 571092536 673073346 785252237 856638804 897431128 1346146692 1570504474 1713277608 2355756711 2692293384 3141008948 4711513422 6282017896 9423026844 18846053688