Search a number
-
+
26441664632424 = 233440805038013
BaseRepresentation
bin1100000001100011011100…
…00001110001011001101000
310110121210120001221001110000
412000301232001301121220
511431210012121214144
6132123044423023000
75366230045664466
oct600615601613150
9113553501831400
1026441664632424
1184749353968a8
122b706a3b9aa60
13119a590b79802
14675ad78d7836
1530cc1d418769
hex180c6e071668

26441664632424 has 40 divisors (see below), whose sum is σ = 74061143995410. Its totient is φ = 8813888210592.

The previous prime is 26441664632389. The next prime is 26441664632431. The reversal of 26441664632424 is 42423646614462.

26441664632424 is a `hidden beast` number, since 2 + 64 + 41 + 6 + 64 + 63 + 2 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23210406727524 + 3231257904900 = 4817718^2 + 1797570^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20402518359 + ... + 20402519654.

Almost surely, 226441664632424 is an apocalyptic number.

26441664632424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26441664632424 is an abundant number, since it is smaller than the sum of its proper divisors (47619479362986).

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

26441664632424 is a wasteful number, since it uses less digits than its factorization.

26441664632424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40805038031 (or 40805038018 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

The spelling of 26441664632424 in words is "twenty-six trillion, four hundred forty-one billion, six hundred sixty-four million, six hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 40805038013 81610076026 122415114039 163220152052 244830228078 326440304104 367245342117 489660456156 734490684234 979320912312 1101736026351 1468981368468 2203472052702 2937962736936 3305208079053 4406944105404 6610416158106 8813888210808 13220832316212 26441664632424