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26530702640532 = 2234972657317717
BaseRepresentation
bin1100000100001001010010…
…00110110100010110010100
310110221022101021122111210000
412002010221012310112110
511434134334333444112
6132232011520331300
75405531354401116
oct602045106642624
9113838337574700
1026530702640532
1184a9675a94172
122b859b2773b30
1311a5ab05ab8cc
1467a142b3d3b6
153101d00c07dc
hex1821291b4594

26530702640532 has 120 divisors (see below), whose sum is σ = 70098105818664. Its totient is φ = 8749075120128.

The previous prime is 26530702640527. The next prime is 26530702640599. The reversal of 26530702640532 is 23504620703562.

26530702640532 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 0 + 70 + 2 + 6 + 40 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131185942416 + 26399516698116 = 362196^2 + 5138046^2 .

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 39 ways as a sum of consecutive naturals, for example, 83345338 + ... + 83663054.

Almost surely, 226530702640532 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 26530702640532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35049052909332).

26530702640532 is an abundant number, since it is smaller than the sum of its proper divisors (43567403178132).

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

26530702640532 is a wasteful number, since it uses less digits than its factorization.

26530702640532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320487 (or 320476 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 26530702640532 in words is "twenty-six trillion, five hundred thirty billion, seven hundred two million, six hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 582 873 1164 1746 2619 2657 3492 5238 5314 7857 7971 10476 10628 15714 15942 23913 31428 31884 47826 71739 95652 143478 215217 257729 286956 317717 430434 515458 635434 773187 860868 953151 1030916 1270868 1546374 1906302 2319561 2859453 3092748 3812604 4639122 5718906 6958683 8578359 9278244 11437812 13917366 17156718 20876049 25735077 27834732 30818549 34313436 41752098 51470154 61637098 83504196 92455647 102940308 123274196 184911294 277366941 369822588 554733882 832100823 844174069 1109467764 1664201646 1688348138 2496302469 2532522207 3328403292 3376696276 4992604938 5065044414 7597566621 9985209876 10130088828 15195133242 22792699863 30390266484 45585399726 68378099589 81884884693 91170799452 136756199178 163769769386 245654654079 273512398356 327539538772 491309308158 736963962237 982618616316 1473927924474 2210891886711 2947855848948 4421783773422 6632675660133 8843567546844 13265351320266 26530702640532