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6544426404131 = 7111012999280597
BaseRepresentation
bin101111100111011111000…
…1101100000100100100011
3212011122022022212102120222
41133032332031200210203
51324210441124413011
621530245030153255
71243550662410620
oct137167615404443
925148268772528
106544426404131
1120a3526101920
1289842b1b282b
133861a1609465
14188a7540d347
15b537eea4ddb
hex5f3be360923

6544426404131 has 32 divisors (see below), whose sum is σ = 8242846848000. Its totient is φ = 5047360848000.

The previous prime is 6544426404121. The next prime is 6544426404151. The reversal of 6544426404131 is 1314046244456.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6544426404131 - 26 = 6544426404067 is a prime.

It is a super-2 number, since 2×65444264041312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6544426404121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23182925 + ... + 23463521.

It is an arithmetic number, because the mean of its divisors is an integer number (257588964000).

Almost surely, 26544426404131 is an apocalyptic number.

6544426404131 is a deficient number, since it is larger than the sum of its proper divisors (1698420443869).

6544426404131 is a wasteful number, since it uses less digits than its factorization.

6544426404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283715.

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 6544426404131 in words is "six trillion, five hundred forty-four billion, four hundred twenty-six million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 7 11 77 101 707 1111 2999 7777 20993 32989 230923 280597 302899 1964179 2120293 3086567 3331889 21605969 23323223 28340297 198382079 311743267 841510403 2182202869 5890572821 9256614433 64796301031 84992550703 594947854921 934918057733 6544426404131