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14418527552 = 2611133150821
BaseRepresentation
bin11010110110110100…
…10100010101000000
31101012212000002102222
431123122110111000
5214012120340202
610342423030212
71020206314322
oct153332242500
941185002388
1014418527552
116129979180
12296489b368
13148a239610
149aad01612
15595c564a2
hex35b694540

14418527552 has 112 divisors (see below), whose sum is σ = 34698822144. Its totient is φ = 5854464000.

The previous prime is 14418527533. The next prime is 14418527567. The reversal of 14418527552 is 25572581441.

It is a happy number.

It is a super-2 number, since 2×144185275522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258302 + ... + 309122.

It is an arithmetic number, because the mean of its divisors is an integer number (309810912).

Almost surely, 214418527552 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 14418527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349411072).

14418527552 is an abundant number, since it is smaller than the sum of its proper divisors (20280294592).

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

14418527552 is a wasteful number, since it uses less digits than its factorization.

14418527552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50888 (or 50878 counting only the distinct ones).

The product of its digits is 448000, while the sum is 44.

The spelling of 14418527552 in words is "fourteen billion, four hundred eighteen million, five hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 143 176 208 248 286 341 352 403 416 496 572 682 704 806 832 992 1144 1364 1612 1984 2288 2728 3224 4433 4576 5456 6448 8866 9152 10912 12896 17732 21824 25792 35464 50821 70928 101642 141856 203284 283712 406568 559031 660673 813136 1118062 1321346 1575451 1626272 2236124 2642692 3150902 3252544 4472248 5285384 6301804 7267403 8944496 10570768 12603608 14534806 17329961 17888992 20480863 21141536 25207216 29069612 34659922 35777984 40961726 42283072 50414432 58139224 69319844 81923452 100828864 116278448 138639688 163846904 225289493 232556896 277279376 327693808 450578986 465113792 554558752 655387616 901157972 1109117504 1310775232 1802315944 3604631888 7209263776 14418527552