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16893209268 = 223213793831193
BaseRepresentation
bin11111011101110100…
…11110101010110100
31121121022112221120100
433232322132222310
5234044130144033
611432144034100
71135425623655
oct175672365264
947538487510
1016893209268
11718985a181
123335602930
131792b42a20
14b6384152c
1568d130513
hex3eee9eab4

16893209268 has 144 divisors (see below), whose sum is σ = 46729912320. Its totient is φ = 5114423808.

The previous prime is 16893209231. The next prime is 16893209269. The reversal of 16893209268 is 86290239861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16893209269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14159680 + ... + 14160872.

It is an arithmetic number, because the mean of its divisors is an integer number (324513280).

Almost surely, 216893209268 is an apocalyptic number.

16893209268 is a gapful number since it is divisible by the number (18) 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 16893209268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23364956160).

16893209268 is an abundant number, since it is smaller than the sum of its proper divisors (29836703052).

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

16893209268 is a wasteful number, since it uses less digits than its factorization.

16893209268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16893209268 in words is "sixteen billion, eight hundred ninety-three million, two hundred nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 383 468 474 711 766 948 1027 1149 1193 1422 1532 2054 2298 2386 2844 3081 3447 3579 4108 4596 4772 4979 6162 6894 7158 9243 9958 10737 12324 13788 14316 14937 15509 18486 19916 21474 29874 30257 31018 36972 42948 44811 46527 59748 60514 62036 89622 90771 93054 94247 121028 139581 179244 181542 186108 188494 272313 279162 282741 363084 376988 393341 456919 544626 558324 565482 786682 848223 913838 1089252 1130964 1180023 1225211 1370757 1573364 1696446 1827676 2360046 2450422 2741514 3392892 3540069 3675633 4112271 4720092 4900844 5483028 5939947 7080138 7351266 8224542 11026899 11879894 14160276 14702532 16449084 17819841 22053798 23759788 35639682 36096601 44107596 53459523 71279364 72193202 106919046 108289803 144386404 213838092 216579606 324869409 433159212 469255813 649738818 938511626 1299477636 1407767439 1877023252 2815534878 4223302317 5631069756 8446604634 16893209268