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26048023236 = 22323727272
BaseRepresentation
bin11000010000100101…
…010100101011000100
32111020022221200102100
4120100211110223010
5411321243220421
615544415312100
71611331354464
oct302045245304
974208850370
1026048023236
1110057480434
12506b51b630
1325c16b9101
141391635ba4
15a26bdcc26
hex610954ac4

26048023236 has 81 divisors (see below), whose sum is σ = 67764478509. Its totient is φ = 8436387168.

The previous prime is 26048023231. The next prime is 26048023241. The reversal of 26048023236 is 63232084062.

The square root of 26048023236 is 161394.

It is a perfect power (a square), and thus also a powerful number.

26048023236 is a `hidden beast` number, since 2 + 604 + 8 + 0 + 23 + 23 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26048023231) and next prime (26048023241).

It can be written as a sum of positive squares in only one way, i.e., 23308128900 + 2739894336 = 152670^2 + 52344^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 26048023236.

It is not an unprimeable number, because it can be changed into a prime (26048023231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35829105 + ... + 35829831.

Almost surely, 226048023236 is an apocalyptic number.

26048023236 is the 161394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26048023236

26048023236 is an abundant number, since it is smaller than the sum of its proper divisors (41716455273).

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

26048023236 is an equidigital number, since it uses as much as digits as its factorization.

26048023236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 26048023236 by its sum of digits (36), we get a square (937728836496 = 9683642).

26048023236 divided by its sum of digits (36) gives a square (723556201 = 268992).

The spelling of 26048023236 in words is "twenty-six billion, forty-eight million, twenty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 727 1332 1369 1454 2181 2738 2908 4107 4362 5476 6543 8214 8724 12321 13086 16428 24642 26172 26899 49284 53798 80697 107596 161394 242091 322788 484182 528529 968364 995263 1057058 1585587 1990526 2114116 2985789 3171174 3981052 4756761 5971578 6342348 8957367 9513522 11943156 17914734 19027044 19555573 35829468 39111146 58666719 78222292 117333438 176000157 234666876 352000314 704000628 723556201 1447112402 2170668603 2894224804 4341337206 6512005809 8682674412 13024011618 26048023236