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10317435688 = 2372193136373
BaseRepresentation
bin10011001101111011…
…11001001100101000
3222122001002001000201
421212331321030220
5132112230420223
64423442241544
7513450520300
oct114675711450
928561061021
1010317435688
114414a1815a
121bbb3562b4
13c856b1441
146dc394600
15405bb2ead
hex266f79328

10317435688 has 48 divisors (see below), whose sum is σ = 22620355380. Its totient is φ = 4398815232.

The previous prime is 10317435683. The next prime is 10317435743. The reversal of 10317435688 is 88653471301.

It can be written as a sum of positive squares in 2 ways, for example, as 10282365604 + 35070084 = 101402^2 + 5922^2 .

It is not an unprimeable number, because it can be changed into a prime (10317435683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7470 + ... + 143842.

Almost surely, 210317435688 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 10317435688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11310177690).

10317435688 is an abundant number, since it is smaller than the sum of its proper divisors (12302919692).

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

10317435688 is a wasteful number, since it uses less digits than its factorization.

10317435688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136586 (or 136575 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 10317435688 in words is "ten billion, three hundred seventeen million, four hundred thirty-five thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 386 392 772 1351 1544 2702 5404 9457 10808 18914 37828 75656 136373 272746 545492 954611 1090984 1909222 3818444 6682277 7636888 13364554 26319989 26729108 52639978 53458216 105279956 184239923 210559912 368479846 736959692 1289679461 1473919384 2579358922 5158717844 10317435688