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10717116336 = 24321715532819
BaseRepresentation
bin10011111101100101…
…00011011110110000
31000122220010220210200
421332302203132300
5133422040210321
64531240555200
7526402662063
oct117662433660
930586126720
1010717116336
1145aa595143
1220b1182b00
13101a440574
147394b48da
1542ad11d26
hex27eca37b0

10717116336 has 120 divisors (see below), whose sum is σ = 31789059120. Its totient is φ = 3358875648.

The previous prime is 10717116331. The next prime is 10717116343. The reversal of 10717116336 is 63361171701.

It is a happy number.

10717116336 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 7 + 11 + 633 + 6 = 666.

It is a super-2 number, since 2×107171163362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10717116336.

It is not an unprimeable number, because it can be changed into a prime (10717116331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3800335 + ... + 3803153.

It is an arithmetic number, because the mean of its divisors is an integer number (264908826).

Almost surely, 210717116336 is an apocalyptic number.

10717116336 is a gapful number since it is divisible by the number (16) 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 10717116336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894529560).

10717116336 is an abundant number, since it is smaller than the sum of its proper divisors (21071942784).

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

10717116336 is a wasteful number, since it uses less digits than its factorization.

10717116336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 10717116336 in words is "ten billion, seven hundred seventeen million, one hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1553 2448 2819 3106 4659 5638 6212 8457 9318 11276 12424 13977 16914 18636 22552 24848 25371 26401 27954 33828 37272 45104 47923 50742 52802 55908 67656 74544 79203 95846 101484 105604 111816 135312 143769 158406 191692 202968 211208 223632 237609 287538 316812 383384 405936 422416 431307 475218 575076 633624 766768 862614 950436 1150152 1267248 1725228 1900872 2300304 3450456 3801744 4377907 6900912 8755814 13133721 17511628 26267442 35023256 39401163 52534884 70046512 74424419 78802326 105069768 148848838 157604652 210139536 223273257 297697676 315209304 446546514 595395352 630418608 669819771 893093028 1190790704 1339639542 1786186056 2679279084 3572372112 5358558168 10717116336