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18252005152 = 2529127251617
BaseRepresentation
bin10000111111111001…
…110111111100100000
31202010000100221002211
4100333321313330200
5244340003131102
612215043451504
71214205325003
oct207771677440
952100327084
1018252005152
117816865687
123654686b94
13194b4c5864
14c520a953a
1571c5867d7
hex43fe77f20

18252005152 has 96 divisors (see below), whose sum is σ = 37675653120. Its totient is φ = 8692992000.

The previous prime is 18252005087. The next prime is 18252005153. The reversal of 18252005152 is 25150025281.

It is not an unprimeable number, because it can be changed into a prime (18252005153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29581548 + ... + 29582164.

It is an arithmetic number, because the mean of its divisors is an integer number (392454720).

Almost surely, 218252005152 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 18252005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837826560).

18252005152 is an abundant number, since it is smaller than the sum of its proper divisors (19423647968).

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

18252005152 is a wasteful number, since it uses less digits than its factorization.

18252005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

The spelling of 18252005152 in words is "eighteen billion, two hundred fifty-two million, five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 116 127 232 251 254 464 502 508 617 928 1004 1016 1234 2008 2032 2468 3683 4016 4064 4936 7279 7366 8032 9872 14558 14732 17893 19744 29116 29464 31877 35786 58232 58928 63754 71572 78359 116464 117856 127508 143144 154867 156718 232928 255016 286288 309734 313436 510032 572576 619468 626872 924433 1020064 1238936 1253744 1848866 2272411 2477872 2507488 3697732 4491143 4544822 4955744 7395464 8982286 9089644 14790928 17964572 18179288 19668109 29581856 35929144 36358576 39336218 71858288 72717152 78672436 143716576 157344872 314689744 570375161 629379488 1140750322 2281500644 4563001288 9126002576 18252005152