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26383180041 = 3229218672
BaseRepresentation
bin11000100100100011…
…110110000100001001
32112002200121102010100
4120210203312010021
5413013043230131
620041551040013
71622541221151
oct304443660411
975080542110
1026383180041
1110209687729
125143810009
132645c7614a
1413c3d5b761
15a463437e6
hex6248f6109

26383180041 has 27 divisors (see below), whose sum is σ = 39489607911. Its totient is φ = 16973180784.

The previous prime is 26383179989. The next prime is 26383180091. The reversal of 26383180041 is 14008138362.

The square root of 26383180041 is 162429.

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

26383180041 is a `hidden beast` number, since 2 + 638 + 3 + 18 + 0 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13834699641 + 12548480400 = 117621^2 + 112020^2 .

It is not a de Polignac number, because 26383180041 - 223 = 26374791433 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26383179978 and 26383180005.

It is not an unprimeable number, because it can be changed into a prime (26383180091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14130390 + ... + 14132256.

Almost surely, 226383180041 is an apocalyptic number.

26383180041 is the 162429-th square number.

26383180041 is the 81215-th centered octagonal number.

It is an amenable number.

26383180041 is a deficient number, since it is larger than the sum of its proper divisors (13106427870).

26383180041 is an frugal number, since it uses more digits than its factorization.

26383180041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 26383180041 by its sum of digits (36), we get a square (949794481476 = 9745742).

The spelling of 26383180041 in words is "twenty-six billion, three hundred eighty-three million, one hundred eighty thousand, forty-one".

Divisors: 1 3 9 29 87 261 841 1867 2523 5601 7569 16803 54143 162429 487287 1570147 3485689 4710441 10457067 14131323 31371201 101084981 303254943 909764829 2931464449 8794393347 26383180041