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26871255672 = 23323531934759
BaseRepresentation
bin11001000001101001…
…101101001001111000
32120100201000020000120
4121001221231021320
5420013020140142
620202224133240
71640615622162
oct310151551170
976321006016
1026871255672
111043a13a118
12525b167220
1326c31147b1
14142cacb932
15a741037ec
hex641a6d278

26871255672 has 128 divisors (see below), whose sum is σ = 71806694400. Its totient is φ = 8360681472.

The previous prime is 26871255637. The next prime is 26871255673. The reversal of 26871255672 is 27655217862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26871255673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5644029 + ... + 5648787.

It is an arithmetic number, because the mean of its divisors is an integer number (560989800).

Almost surely, 226871255672 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 26871255672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35903347200).

26871255672 is an abundant number, since it is smaller than the sum of its proper divisors (44935438728).

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

26871255672 is a wasteful number, since it uses less digits than its factorization.

26871255672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5033 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The spelling of 26871255672 in words is "twenty-six billion, eight hundred seventy-one million, two hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 193 212 276 318 386 424 552 579 636 772 1158 1219 1272 1544 2316 2438 3657 4439 4632 4759 4876 7314 8878 9518 9752 10229 13317 14277 14628 17756 19036 20458 26634 28554 29256 30687 35512 38072 40916 53268 57108 61374 81832 106536 109457 114216 122748 218914 235267 245496 252227 328371 437828 470534 504454 656742 705801 756681 875656 918487 941068 1008908 1313484 1411602 1513362 1836974 1882136 2017816 2626968 2755461 2823204 3026724 3673948 5510922 5646408 5801221 6053448 7347896 11021844 11602442 17403663 21125201 22043688 23204884 34807326 42250402 46409768 48679811 63375603 69614652 84500804 97359622 126751206 139229304 146039433 169001608 194719244 253502412 292078866 389438488 507004824 584157732 1119635653 1168315464 2239271306 3358906959 4478542612 6717813918 8957085224 13435627836 26871255672