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26978190048 = 253331224757
BaseRepresentation
bin11001001000000001…
…101000001011100000
32120122011020001102000
4121020001220023200
5420222404040143
620221004124000
71643354555205
oct311001501340
976564201360
1026978190048
1110494537537
12528ab36600
13270c315684
14143cda5cac
15a7d6c7bd3
hex6480682e0

26978190048 has 48 divisors (see below), whose sum is σ = 78686390160. Its totient is φ = 8992729728.

The previous prime is 26978190047. The next prime is 26978190049. The reversal of 26978190048 is 84009187962.

It is an interprime number because it is at equal distance from previous prime (26978190047) and next prime (26978190049).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 26978189976 and 26978190003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26978190047) 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 7 ways as a sum of consecutive naturals, for example, 15611515 + ... + 15613242.

It is an arithmetic number, because the mean of its divisors is an integer number (1639299795).

Almost surely, 226978190048 is an apocalyptic number.

It is an amenable number.

26978190048 is an abundant number, since it is smaller than the sum of its proper divisors (51708200112).

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

26978190048 is a wasteful number, since it uses less digits than its factorization.

26978190048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31224776 (or 31224762 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 26978190048 in words is "twenty-six billion, nine hundred seventy-eight million, one hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 31224757 62449514 93674271 124899028 187348542 249798056 281022813 374697084 499596112 562045626 749394168 843068439 999192224 1124091252 1498788336 1686136878 2248182504 2997576672 3372273756 4496365008 6744547512 8992730016 13489095024 26978190048