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26460242646420 = 22351148197831821
BaseRepresentation
bin1100000010000110000010…
…10111010001010110010100
310110200120111210201221121110
412001003001113101112110
511432011034104141140
6132135400114215020
75400455323335552
oct601030127212624
9113616453657543
1026460242646420
1184817a917a780
122b74209884470
13119c261a785bb
1467697adc6bd2
1530d4593ea380
hex1810c15d1594

26460242646420 has 96 divisors (see below), whose sum is σ = 80825788020096. Its totient is φ = 6414463475200.

The previous prime is 26460242646349. The next prime is 26460242646421. The reversal of 26460242646420 is 2464624206462.

It is a self number, because there is not a number n which added to its sum of digits gives 26460242646420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26460242646421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31394110 + ... + 32225930.

It is an arithmetic number, because the mean of its divisors is an integer number (841935291876).

Almost surely, 226460242646420 is an apocalyptic number.

26460242646420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26460242646420 is an abundant number, since it is smaller than the sum of its proper divisors (54365545373676).

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

26460242646420 is a wasteful number, since it uses less digits than its factorization.

26460242646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880041 (or 880039 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 26460242646420 in words is "twenty-six trillion, four hundred sixty billion, two hundred forty-two million, six hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 48197 96394 144591 192788 240985 289182 481970 530167 578364 722955 831821 963940 1060334 1445910 1590501 1663642 2120668 2495463 2650835 2891820 3181002 3327284 4159105 4990926 5301670 6362004 7952505 8318210 9150031 9981852 10603340 12477315 15905010 16636420 18300062 24954630 27450093 31810020 36600124 45750155 49909260 54900186 91500310 109800372 137250465 183000620 274500930 549001860 40091276737 80182553474 120273830211 160365106948 200456383685 240547660422 400912767370 441004044107 481095320844 601369151055 801825534740 882008088214 1202738302110 1323012132321 1764016176428 2205020220535 2405476604220 2646024264642 4410040441070 5292048529284 6615060661605 8820080882140 13230121323210 26460242646420