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16445066352 = 243111319126097
BaseRepresentation
bin11110101000011001…
…11100110001110000
31120110002021221001120
433110030330301300
5232134414110402
611315454502240
71121344520601
oct172414746160
946402257046
1016445066352
116a798a1830
12322b504980
1317210463c0
14b20107da8
15663b0c3bc
hex3d433cc70

16445066352 has 160 divisors (see below), whose sum is σ = 52537470720. Its totient is φ = 4357877760.

The previous prime is 16445066327. The next prime is 16445066357. The reversal of 16445066352 is 25366054461.

16445066352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16445066357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67368 + ... + 193464.

It is an arithmetic number, because the mean of its divisors is an integer number (328359192).

Almost surely, 216445066352 is an apocalyptic number.

16445066352 is a gapful number since it is divisible by the number (12) 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 16445066352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26268735360).

16445066352 is an abundant number, since it is smaller than the sum of its proper divisors (36092404368).

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

16445066352 is a wasteful number, since it uses less digits than its factorization.

16445066352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126151 (or 126145 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 16445066352 in words is "sixteen billion, four hundred forty-five million, sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3344 3432 3952 5016 5434 5928 6864 8151 10032 10868 11856 16302 21736 32604 43472 65208 126097 130416 252194 378291 504388 756582 1008776 1387067 1513164 1639261 2017552 2395843 2774134 3026328 3278522 4161201 4791686 4917783 5548268 6052656 6557044 7187529 8322402 9583372 9835566 11096536 13114088 14375058 16644804 18031871 19166744 19671132 22193072 26228176 26354273 28750116 31145959 33289608 36063742 38333488 39342264 52708546 54095613 57500232 62291918 66579216 72127484 78684528 79062819 93437877 105417092 108191226 115000464 124583836 144254968 158125638 186875754 210834184 216382452 249167672 288509936 316251276 342605549 373751508 421668368 432764904 498335344 632502552 685211098 747503016 865529808 1027816647 1265005104 1370422196 1495006032 2055633294 2740844392 4111266588 5481688784 8222533176 16445066352