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26572129128 = 23321927770123
BaseRepresentation
bin11000101111110100…
…101000001101101000
32112120212011000112200
4120233310220031220
5413404431113003
620112420540200
71630324241136
oct305764501550
975525130480
1026572129128
11102a63019a6
125196b51660
13267616143c
1414010a4756
15a57c186a3
hex62fd28368

26572129128 has 96 divisors (see below), whose sum is σ = 76028440800. Its totient is φ = 8360786304.

The previous prime is 26572129121. The next prime is 26572129141. The reversal of 26572129128 is 82192127562.

It is not an unprimeable number, because it can be changed into a prime (26572129121) 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 23 ways as a sum of consecutive naturals, for example, 343875 + ... + 413997.

It is an arithmetic number, because the mean of its divisors is an integer number (791962925).

Almost surely, 226572129128 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 26572129128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38014220400).

26572129128 is an abundant number, since it is smaller than the sum of its proper divisors (49456311672).

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

26572129128 is a wasteful number, since it uses less digits than its factorization.

26572129128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70431 (or 70424 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

It can be divided in two parts, 265721 and 29128, that added together give a square (294849 = 5432).

The spelling of 26572129128 in words is "twenty-six billion, five hundred seventy-two million, one hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 277 342 456 554 684 831 1108 1368 1662 2216 2493 3324 4986 5263 6648 9972 10526 15789 19944 21052 31578 42104 47367 63156 70123 94734 126312 140246 189468 210369 280492 378936 420738 560984 631107 841476 1262214 1332337 1682952 2524428 2664674 3997011 5048856 5329348 7994022 10658696 11991033 15988044 19424071 23982066 31976088 38848142 47964132 58272213 77696284 95928264 116544426 155392568 174816639 233088852 349633278 369057349 466177704 699266556 738114698 1107172047 1398533112 1476229396 2214344094 2952458792 3321516141 4428688188 6643032282 8857376376 13286064564 26572129128