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10717130688 = 263112461309
BaseRepresentation
bin10011111101100101…
…00110111111000000
31000122220011122111020
421332302212333000
5133422041140223
64531241145440
7526403051655
oct117662467700
930586148436
1010717130688
1145aa5a4a00
1220b118b280
13101a446c64
147394b9c2c
1542ad161e3
hex27eca6fc0

10717130688 has 84 divisors (see below), whose sum is σ = 31167948840. Its totient is φ = 3247608320.

The previous prime is 10717130653. The next prime is 10717130719. The reversal of 10717130688 is 88603171701.

It is a super-2 number, since 2×107171306882 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207423 + ... + 253886.

It is an arithmetic number, because the mean of its divisors is an integer number (371047010).

Almost surely, 210717130688 is an apocalyptic number.

It is an amenable number.

10717130688 is an abundant number, since it is smaller than the sum of its proper divisors (20450818152).

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

10717130688 is a wasteful number, since it uses less digits than its factorization.

10717130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461346 (or 461325 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 10717130688 in words is "ten billion, seven hundred seventeen million, one hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 461309 922618 1383927 1845236 2767854 3690472 5074399 5535708 7380944 10148798 11071416 14761888 15223197 20297596 22142832 29523776 30446394 40595192 44285664 55818389 60892788 81190384 88571328 111636778 121785576 162380768 167455167 223273556 243571152 324761536 334910334 446547112 487142304 669820668 893094224 974284608 1339641336 1786188448 2679282672 3572376896 5358565344 10717130688