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18069517568 = 281631672593
BaseRepresentation
bin10000110101000001…
…101111010100000000
31201122021222121012102
4100311001233110000
5244001244030233
612145004245532
71206531236144
oct206501572400
951567877172
1018069517568
117732853aa3
1236035408a8
13191c76063b
14c35b65224
1570b53b1e8
hex43506f500

18069517568 has 72 divisors (see below), whose sum is σ = 36521112768. Its totient is φ = 8922120192.

The previous prime is 18069517561. The next prime is 18069517589. The reversal of 18069517568 is 86571596081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18069517561) 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 7 ways as a sum of consecutive naturals, for example, 6967280 + ... + 6969872.

Almost surely, 218069517568 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 18069517568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18260556384).

18069517568 is an abundant number, since it is smaller than the sum of its proper divisors (18451595200).

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

18069517568 is a wasteful number, since it uses less digits than its factorization.

18069517568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 56.

The spelling of 18069517568 in words is "eighteen billion, sixty-nine million, five hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 163 167 256 326 334 652 668 1304 1336 2593 2608 2672 5186 5216 5344 10372 10432 10688 20744 20864 21376 27221 41488 41728 42752 54442 82976 108884 165952 217768 331904 422659 433031 435536 663808 845318 866062 871072 1690636 1732124 1742144 3381272 3464248 3484288 6762544 6928496 6968576 13525088 13856992 27050176 27713984 54100352 55427968 70584053 108200704 110855936 141168106 282336212 564672424 1129344848 2258689696 4517379392 9034758784 18069517568