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9670992128 = 287311071627
BaseRepresentation
bin10010000000110111…
…11010000100000000
3220221222200022011122
421000123322010000
5124301233222003
64235350531412
7461441035220
oct110033720400
926858608148
109670992128
114113028586
121a5a966b68
13bb17a4165
1467a59c080
153b906e238
hex2406fa100

9670992128 has 144 divisors (see below), whose sum is σ = 23000592384. Its totient is φ = 3971082240.

The previous prime is 9670992119. The next prime is 9670992143. The reversal of 9670992128 is 8212990769.

It is a self number, because there is not a number n which added to its sum of digits gives 9670992128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5943251 + ... + 5944877.

It is an arithmetic number, because the mean of its divisors is an integer number (159726336).

Almost surely, 29670992128 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 9670992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500296192).

9670992128 is an abundant number, since it is smaller than the sum of its proper divisors (13329600256).

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

9670992128 is a wasteful number, since it uses less digits than its factorization.

9670992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 9670992128 is about 98341.2025958601. The cubic root of 9670992128 is about 2130.5431934002.

The spelling of 9670992128 in words is "nine billion, six hundred seventy million, nine hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 107 112 124 128 214 217 224 248 256 428 434 448 496 749 856 868 896 992 1498 1627 1712 1736 1792 1984 2996 3254 3317 3424 3472 3968 5992 6508 6634 6848 6944 7936 11389 11984 13016 13268 13696 13888 22778 23219 23968 26032 26536 27392 27776 45556 46438 47936 50437 52064 53072 55552 91112 92876 95872 100874 104128 106144 174089 182224 185752 191744 201748 208256 212288 348178 353059 364448 371504 403496 416512 424576 696356 706118 728896 743008 806992 849152 1218623 1392712 1412236 1457792 1486016 1613984 2437246 2785424 2824472 2915584 2972032 3227968 4874492 5396759 5570848 5648944 5944064 6455936 9748984 10793518 11141696 11297888 12911872 19497968 21587036 22283392 22595776 37777313 38995936 43174072 44566784 45191552 75554626 77991872 86348144 90383104 151109252 155983744 172696288 302218504 311967488 345392576 604437008 690785152 1208874016 1381570304 2417748032 4835496064 9670992128