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26834698969 = 132126012
BaseRepresentation
bin11000111111011110…
…010000001011011001
32120021011012221122121
4120333132100023121
5414424140331334
620154440421241
71636663114651
oct307736201331
976234187577
1026834698969
1110420540571
12524aa77821
1326b8685300
141427cd3361
15a70cd1db4
hex63f7902d9

26834698969 has 9 divisors (see below), whose sum is σ = 29059997949. Its totient is φ = 24768525600.

The previous prime is 26834698931. The next prime is 26834698993. The reversal of 26834698969 is 96989643862.

The square root of 26834698969 is 163813.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7294014025 + 19540684944 = 85405^2 + 139788^2 .

It is not a de Polignac number, because 26834698969 - 27 = 26834698841 is a prime.

It is a super-2 number, since 2×268346989692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26834698898 and 26834698907.

It is not an unprimeable number, because it can be changed into a prime (26834698369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2123269 + ... + 2135869.

It is an arithmetic number, because the mean of its divisors is an integer number (3228888661).

Almost surely, 226834698969 is an apocalyptic number.

26834698969 is the 163813-rd square number.

26834698969 is the 81907-th centered octagonal number.

It is an amenable number.

26834698969 is a deficient number, since it is larger than the sum of its proper divisors (2225298980).

26834698969 is an frugal number, since it uses more digits than its factorization.

26834698969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25228 (or 12614 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 70.

The spelling of 26834698969 in words is "twenty-six billion, eight hundred thirty-four million, six hundred ninety-eight thousand, nine hundred sixty-nine".

Divisors: 1 13 169 12601 163813 2129569 158785201 2064207613 26834698969