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999663616 = 2117103677
BaseRepresentation
bin111011100101011…
…010100000000000
32120200001011200101
4323211122200000
54021403213431
6243110132144
733526000120
oct7345324000
92520034611
10999663616
11473314086
1223a951054
1312c150043
1496aa0c80
155cb66961
hex3b95a800

999663616 has 96 divisors (see below), whose sum is σ = 2309973120. Its totient is φ = 423641088.

The previous prime is 999663589. The next prime is 999663619. The reversal of 999663616 is 616366999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (999663619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476270 + ... + 1476946.

It is an arithmetic number, because the mean of its divisors is an integer number (24062220).

Almost surely, 2999663616 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 999663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154986560).

999663616 is an abundant number, since it is smaller than the sum of its proper divisors (1310309504).

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

999663616 is a wasteful number, since it uses less digits than its factorization.

999663616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 789 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 55.

The square root of 999663616 is about 31617.4574562851. The cubic root of 999663616 is about 999.8878594250.

The spelling of 999663616 in words is "nine hundred ninety-nine million, six hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 677 721 824 896 1024 1354 1442 1648 1792 2048 2708 2884 3296 3584 4739 5416 5768 6592 7168 9478 10832 11536 13184 14336 18956 21664 23072 26368 37912 43328 46144 52736 69731 75824 86656 92288 105472 139462 151648 173312 184576 210944 278924 303296 346624 369152 488117 557848 606592 693248 738304 976234 1115696 1213184 1386496 1476608 1952468 2231392 2426368 3904936 4462784 4852736 7809872 8925568 9705472 15619744 17851136 31239488 35702272 62478976 71404544 124957952 142809088 249915904 499831808 999663616