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10716583005 = 325298992269
BaseRepresentation
bin10011111101100001…
…00001010001011101
31000122212010211012200
421332300201101131
5133421421124010
64531221322113
7526365311142
oct117660412135
930585124180
1010716583005
1145aa260477
1220b0b66339
13101a2b489b
147393b63c9
1542ac58cc0
hex27ec2145d

10716583005 has 48 divisors (see below), whose sum is σ = 19432062000. Its totient is φ = 5456360448.

The previous prime is 10716582983. The next prime is 10716583013. The reversal of 10716583005 is 50038561701.

10716583005 is a `hidden beast` number, since 1 + 0 + 71 + 6 + 583 + 0 + 0 + 5 = 666.

10716583005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2533209561 + 8183373444 = 50331^2 + 90462^2 .

It is not a de Polignac number, because 10716583005 - 29 = 10716582493 is a prime.

It is a super-2 number, since 2×107165830052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70011 + ... + 162279.

It is an arithmetic number, because the mean of its divisors is an integer number (404834625).

Almost surely, 210716583005 is an apocalyptic number.

10716583005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10716583005 is a deficient number, since it is larger than the sum of its proper divisors (8715478995).

10716583005 is a wasteful number, since it uses less digits than its factorization.

10716583005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92398 (or 92395 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10716583005 in words is "ten billion, seven hundred sixteen million, five hundred eighty-three thousand, five".

Divisors: 1 3 5 9 15 29 45 87 89 145 261 267 435 445 801 1305 1335 2581 4005 7743 12905 23229 38715 92269 116145 276807 461345 830421 1384035 2675801 4152105 8027403 8211941 13379005 24082209 24635823 40137015 41059705 73907469 120411045 123179115 238146289 369537345 714438867 1190731445 2143316601 3572194335 10716583005