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14059527936 = 28353893881
BaseRepresentation
bin11010001100000001…
…10101111100000000
31100021211111000112220
431012000311330000
5212243214343221
610243040251040
71005260005236
oct150600657400
940254430486
1014059527936
115a65267483
122884610a80
131430a51ccc
14975370956
155744910c6
hex346035f00

14059527936 has 144 divisors (see below), whose sum is σ = 38563166880. Its totient is φ = 4545249280.

The previous prime is 14059527919. The next prime is 14059528027. The reversal of 14059527936 is 63972595041.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3620716 + ... + 3624596.

It is an arithmetic number, because the mean of its divisors is an integer number (267799770).

Almost surely, 214059527936 is an apocalyptic number.

14059527936 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 14059527936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281583440).

14059527936 is an abundant number, since it is smaller than the sum of its proper divisors (24503638944).

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

14059527936 is an equidigital number, since it uses as much as digits as its factorization.

14059527936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 14059527936 in words is "fourteen billion, fifty-nine million, five hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 89 96 106 128 159 178 192 212 256 267 318 356 384 424 534 636 712 768 848 1068 1272 1424 1696 2136 2544 2848 3392 3881 4272 4717 5088 5696 6784 7762 8544 9434 10176 11392 11643 13568 14151 15524 17088 18868 20352 22784 23286 28302 31048 34176 37736 40704 46572 56604 62096 68352 75472 93144 113208 124192 150944 186288 205693 226416 248384 301888 345409 372576 411386 452832 496768 603776 617079 690818 745152 822772 905664 993536 1036227 1207552 1234158 1381636 1490304 1645544 1811328 2072454 2468316 2763272 2980608 3291088 3622656 4144908 4936632 5526544 6582176 8289816 9873264 11053088 13164352 16579632 18306677 19746528 22106176 26328704 33159264 36613354 39493056 44212352 52657408 54920031 66318528 73226708 78986112 88424704 109840062 132637056 146453416 157972224 219680124 265274112 292906832 439360248 585813664 878720496 1171627328 1757440992 2343254656 3514881984 4686509312 7029763968 14059527936