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26440644401172 = 2232438922156359
BaseRepresentation
bin1100000001100001100010…
…01101111001100000010100
310110121200220222011221021100
412000300301031321200110
511431200414431314142
6132122355255550100
75366162550112401
oct600606115714024
9113550828157240
1026440644401172
118474461504a81
122b7045a38b330
13119a45a6a7b91
14675a3c2012a8
1530cbada8cb4c
hex180c31379814

26440644401172 has 108 divisors (see below), whose sum is σ = 69167498239840. Its totient is φ = 8511852311424.

The previous prime is 26440644401137. The next prime is 26440644401189. The reversal of 26440644401172 is 27110444604462.

It is a super-3 number, since 3×264406444011723 (a number of 41 digits) contains 333 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 35 ways as a sum of consecutive naturals, for example, 11183529 + ... + 13339887.

Almost surely, 226440644401172 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 26440644401172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34583749119920).

26440644401172 is an abundant number, since it is smaller than the sum of its proper divisors (42726853838668).

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

26440644401172 is a wasteful number, since it uses less digits than its factorization.

26440644401172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156590 (or 2156496 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 26440644401172 in words is "twenty-six trillion, four hundred forty billion, six hundred forty-four million, four hundred one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 89 129 172 178 258 267 356 387 516 534 774 801 1068 1548 1602 3204 3827 7654 7921 11481 15308 15842 22962 23763 31684 34443 45924 47526 68886 71289 95052 137772 142578 285156 340603 681206 1021809 1362412 2043618 2156359 3065427 4087236 4312718 6130854 6469077 8625436 12261708 12938154 19407231 25876308 38814462 77628924 92723437 185446874 191915951 278170311 370893748 383831902 556340622 575747853 767663804 834510933 1112681244 1151495706 1669021866 1727243559 2302991412 3338043732 3454487118 6908974236 8252385893 16504771786 17080519639 24757157679 33009543572 34161039278 49514315358 51241558917 68322078556 74271473037 99028630716 102483117834 148542946074 153724676751 204966235668 297085892148 307449353502 614898707004 734462344477 1468924688954 2203387033431 2937849377908 4406774066862 6610161100293 8813548133724 13220322200586 26440644401172