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10670663131758 = 23272172077334259
BaseRepresentation
bin1001101101000111010100…
…0101011110001001101110
31101210002211212020022221200
42123101311011132021232
52344312004230204013
634410011315310330
72150633660040600
oct233216505361156
941702755208850
1010670663131758
113444448177363
1212440675ab3a6
135c5315731516
1428c66a0c7170
1513787d70ee73
hex9b47515e26e

10670663131758 has 144 divisors (see below), whose sum is σ = 28478653641360. Its totient is φ = 2869200133632.

The previous prime is 10670663131729. The next prime is 10670663131759. The reversal of 10670663131758 is 85713136607601.

It is a super-2 number, since 2×106706631317582 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10670663131759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311453233 + ... + 311487491.

It is an arithmetic number, because the mean of its divisors is an integer number (197768428065).

Almost surely, 210670663131758 is an apocalyptic number.

10670663131758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10670663131758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239326820680).

10670663131758 is an abundant number, since it is smaller than the sum of its proper divisors (17807990509602).

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

10670663131758 is a wasteful number, since it uses less digits than its factorization.

10670663131758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55071 (or 55061 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10670663131758 in words is "ten trillion, six hundred seventy billion, six hundred sixty-three million, one hundred thirty-one thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 14994 20773 34259 41546 62319 68518 102777 124638 145411 186957 205554 239813 290822 308331 353141 373914 436233 479626 582403 616662 706282 719439 872466 1017877 1059423 1164806 1308699 1438878 1678691 1747209 2035754 2118846 2158317 2471987 2617398 3053631 3178269 3357382 3494418 4076821 4316634 4943974 5036073 5241627 6107262 6356538 7415961 8153642 9160893 10072146 10483254 12230463 14831922 15108219 17303909 18321786 22247883 24460926 28537747 30216438 34607818 36691389 44495766 51911727 57075494 73382778 85613241 103823454 155735181 171226482 256839723 311470362 513679446 711662207 1423324414 2134986621 4269973242 4981635449 6404959863 9963270898 12098257519 12809919726 14944906347 24196515038 29889812694 34871448143 36294772557 44834719041 69742896286 72589545114 84687802633 89669438082 104614344429 108884317671 169375605266 209228688858 217768635342 254063407899 313843033287 508126815798 592814618431 627686066574 762190223697 1185629236862 1524380447394 1778443855293 3556887710586 5335331565879 10670663131758