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16289601328 = 24711132344221
BaseRepresentation
bin11110010101110111…
…11001011100110000
31120001020202111010201
433022323321130300
5231330114220303
611252222404544
71114446220030
oct171273713460
946036674121
1016289601328
1169aa067640
1231a7430754
1316c7a82b70
14b075d98c0
1565514d81d
hex3caef9730

16289601328 has 160 divisors (see below), whose sum is σ = 44219169792. Its totient is φ = 5603558400.

The previous prime is 16289601319. The next prime is 16289601329. The reversal of 16289601328 is 82310698261.

It is a super-2 number, since 2×162896013282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (16289601329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346258 + ... + 390478.

Almost surely, 216289601328 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 16289601328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109584896).

16289601328 is an abundant number, since it is smaller than the sum of its proper divisors (27929568464).

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

16289601328 is a wasteful number, since it uses less digits than its factorization.

16289601328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44283 (or 44277 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 16289601328 in words is "sixteen billion, two hundred eighty-nine million, six hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 23 26 28 44 46 52 56 77 88 91 92 104 112 143 154 161 176 182 184 208 253 286 299 308 322 364 368 506 572 598 616 644 728 1001 1012 1144 1196 1232 1288 1456 1771 2002 2024 2093 2288 2392 2576 3289 3542 4004 4048 4186 4784 6578 7084 8008 8372 13156 14168 16016 16744 23023 26312 28336 33488 44221 46046 52624 88442 92092 176884 184184 309547 353768 368368 486431 574873 619094 707536 972862 1017083 1149746 1238188 1945724 2034166 2299492 2476376 3405017 3891448 4024111 4068332 4598984 4952752 6323603 6810034 7119581 7782896 8048222 8136664 9197968 11187913 12647206 13222079 13620068 14239162 16096444 16273328 22375826 25294412 26444158 27240136 28478324 32192888 44265221 44751652 50588824 52888316 54480272 56956648 64385776 78315391 88530442 89503304 92554553 101177648 105776632 113913296 145442869 156630782 177060884 179006608 185109106 211553264 290885738 313261564 354121768 370218212 581771476 626523128 708243536 740436424 1018100083 1163542952 1253046256 1480872848 2036200166 2327085904 4072400332 8144800664 16289601328