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5779141027257 = 313247923796869
BaseRepresentation
bin101010000011000111110…
…1001011110010110111001
3202110110222021102021001210
41110012033221132112321
51224141140100333012
620142522320433333
71134346334135433
oct124061751362671
922413867367053
105779141027257
111928a134a2304
12794052778849
1332bc80705900
1415d9d7709653
15a04de67223c
hex5418fa5e5b9

5779141027257 has 24 divisors (see below), whose sum is σ = 8361268243200. Its totient is φ = 3548969706048.

The previous prime is 5779141027249. The next prime is 5779141027321. The reversal of 5779141027257 is 7527201419775.

5779141027257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5779141027257 - 23 = 5779141027249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5779141027197 and 5779141027206.

It is not an unprimeable number, because it can be changed into a prime (5779141027157) 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 23 ways as a sum of consecutive naturals, for example, 11655582 + ... + 12141287.

It is an arithmetic number, because the mean of its divisors is an integer number (348386176800).

Almost surely, 25779141027257 is an apocalyptic number.

It is an amenable number.

5779141027257 is a deficient number, since it is larger than the sum of its proper divisors (2582127215943).

5779141027257 is a wasteful number, since it uses less digits than its factorization.

5779141027257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23797377 (or 23797364 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 57.

The spelling of 5779141027257 in words is "five trillion, seven hundred seventy-nine billion, one hundred forty-one million, twenty-seven thousand, two hundred fifty-seven".

Divisors: 1 3 13 39 169 479 507 1437 6227 18681 80951 242853 23796869 71390607 309359297 928077891 4021670861 11398700251 12065012583 34196100753 148183103263 444549309789 1926380342419 5779141027257