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2093317968 = 243761109937
BaseRepresentation
bin111110011000101…
…0111111101010000
312101212221120102010
41330301113331100
513241342133333
6543415022520
7102605623560
oct17461277520
95355846363
102093317968
11984694855
124a506aa40
132748bb5b1
1415c02ada0
15c3b97563
hex7cc57f50

2093317968 has 160 divisors (see below), whose sum is σ = 6345982720. Its totient is φ = 582266880.

The previous prime is 2093317943. The next prime is 2093317973. The reversal of 2093317968 is 8697133902.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2233596 + ... + 2234532.

It is an arithmetic number, because the mean of its divisors is an integer number (39662392).

Almost surely, 22093317968 is an apocalyptic number.

2093317968 is a gapful number since it is divisible by the number (28) 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 2093317968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172991360).

2093317968 is an abundant number, since it is smaller than the sum of its proper divisors (4252664752).

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

2093317968 is a wasteful number, since it uses less digits than its factorization.

2093317968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 2093317968 is about 45752.7919148111. The cubic root of 2093317968 is about 1279.2194883532.

The spelling of 2093317968 in words is "two billion, ninety-three million, three hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 109 112 122 168 183 218 244 327 336 366 427 436 488 654 732 763 854 872 937 976 1281 1308 1464 1526 1708 1744 1874 2289 2562 2616 2811 2928 3052 3416 3748 4578 5124 5232 5622 6104 6559 6649 6832 7496 9156 10248 11244 12208 13118 13298 14992 18312 19677 19947 20496 22488 26236 26596 36624 39354 39894 44976 46543 52472 53192 57157 78708 79788 93086 102133 104944 106384 114314 139629 157416 159576 171471 186172 204266 228628 279258 306399 314832 319152 342942 372344 400099 408532 457256 558516 612798 685884 714931 744688 800198 817064 914512 1117032 1200297 1225596 1371768 1429862 1600396 1634128 2144793 2234064 2400594 2451192 2743536 2859724 3200792 4289586 4801188 4902384 5719448 6230113 6401584 8579172 9602376 11438896 12460226 17158344 18690339 19204752 24920452 34316688 37380678 43610791 49840904 74761356 87221582 99681808 130832373 149522712 174443164 261664746 299045424 348886328 523329492 697772656 1046658984 2093317968