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11171480698464 = 2535320991046047
BaseRepresentation
bin1010001010010001000000…
…1000110111111001100000
31110112222112200211201212120
42202210100020313321200
52431013143024322324
635432035110024240
72232053464106532
oct242442010677140
943488480751776
1011171480698464
113617886683819
121305136348080
1363060a072b78
142a89b9b29852
151458e0eda179
hexa2910237e60

11171480698464 has 96 divisors (see below), whose sum is σ = 29892704486400. Its totient is φ = 3651821901312.

The previous prime is 11171480698451. The next prime is 11171480698519. The reversal of 11171480698464 is 46489608417111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11171480698398 and 11171480698407.

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 15 ways as a sum of consecutive naturals, for example, 10156689 + ... + 11202735.

It is an arithmetic number, because the mean of its divisors is an integer number (311382338400).

Almost surely, 211171480698464 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 11171480698464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946352243200).

11171480698464 is an abundant number, since it is smaller than the sum of its proper divisors (18721223787936).

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

11171480698464 is a wasteful number, since it uses less digits than its factorization.

11171480698464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048212 (or 1048204 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 11171480698464 in words is "eleven trillion, one hundred seventy-one billion, four hundred eighty million, six hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2099 2544 4198 5088 6297 8396 12594 16792 25188 33584 50376 67168 100752 111247 201504 222494 333741 444988 667482 889976 1046047 1334964 1779952 2092094 2669928 3138141 3559904 4184188 5339856 6276282 8368376 10679712 12552564 16736752 25105128 33473504 50210256 55440491 100420512 110880982 166321473 221761964 332642946 443523928 665285892 887047856 1330571784 1774095712 2195652653 2661143568 4391305306 5322287136 6586957959 8782610612 13173915918 17565221224 26347831836 35130442448 52695663672 70260884896 105391327344 116369590609 210782654688 232739181218 349108771827 465478362436 698217543654 930956724872 1396435087308 1861913449744 2792870174616 3723826899488 5585740349232 11171480698464