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26135166420 = 223251113994961
BaseRepresentation
bin11000010101110001…
…101111110111010100
32111110101221000101200
4120111301233313110
5412011100311140
620001211152500
71613440151316
oct302561576724
974411830350
1026135166420
11100a16903a0
125094745730
13260677a91c
14139d03b7b6
15a2e6a3030
hex615c6fdd4

26135166420 has 144 divisors (see below), whose sum is σ = 87106743360. Its totient is φ = 6290150400.

The previous prime is 26135166383. The next prime is 26135166469. The reversal of 26135166420 is 2466153162.

26135166420 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 5 + 1 + 6 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227740 + ... + 322700.

It is an arithmetic number, because the mean of its divisors is an integer number (604907940).

Almost surely, 226135166420 is an apocalyptic number.

26135166420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26135166420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43553371680).

26135166420 is an abundant number, since it is smaller than the sum of its proper divisors (60971576940).

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

26135166420 is a wasteful number, since it uses less digits than its factorization.

26135166420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95126 (or 95121 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26135166420 in words is "twenty-six billion, one hundred thirty-five million, one hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 139 165 180 198 220 278 330 396 417 495 556 660 695 834 990 1251 1390 1529 1668 1980 2085 2502 2780 3058 4170 4587 5004 6116 6255 7645 8340 9174 12510 13761 15290 18348 22935 25020 27522 30580 45870 55044 68805 91740 94961 137610 189922 275220 284883 379844 474805 569766 854649 949610 1044571 1139532 1424415 1709298 1899220 2089142 2848830 3133713 3418596 4178284 4273245 5222855 5697660 6267426 8546490 9401139 10445710 12534852 13199579 15668565 17092980 18802278 20891420 26399158 31337130 37604556 39598737 47005695 52798316 62674260 65997895 79197474 94011390 118796211 131995790 145195369 158394948 188022780 197993685 237592422 263991580 290390738 395987370 435586107 475184844 580781476 593981055 725976845 791974740 871172214 1187962110 1306758321 1451953690 1742344428 2177930535 2375924220 2613516642 2903907380 4355861070 5227033284 6533791605 8711722140 13067583210 26135166420