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26869050432 = 2636732373
BaseRepresentation
bin11001000001100001…
…010010110001000000
32120100112212012000000
4121001201102301000
5420011434103212
620202105000000
71640561106000
oct310141226100
976315765000
1026869050432
1110438973304
12525a483000
1326c2821b13
14142c6b6000
15a73d1a1dc
hex641852c40

26869050432 has 784 divisors, whose sum is σ = 98611334400. Its totient is φ = 7242504192.

The previous prime is 26869050389. The next prime is 26869050437. The reversal of 26869050432 is 23405096862.

26869050432 is a `hidden beast` number, since 2 + 6 + 86 + 90 + 50 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a super-2 number, since 2×268690504322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26869050437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 368069148 + ... + 368069220.

Almost surely, 226869050432 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 26869050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49305667200).

26869050432 is an abundant number, since it is smaller than the sum of its proper divisors (71742283968).

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

26869050432 is an frugal number, since it uses more digits than its factorization.

26869050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26869050432 in words is "twenty-six billion, eight hundred sixty-nine million, fifty thousand, four hundred thirty-two".