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256145216155347 = 33119343332957791
BaseRepresentation
bin111010001111011001110100…
…100111101010111011010011
31020120221020120112010220022110
4322033121310213222323103
5232033140400313432342
62304435253212040403
7104644611145355331
oct7217316447527323
91216836515126273
10256145216155347
1174685637911712
122488a7aa763103
13acc050c484c8c
1447376cd2d6b51
151e92dd17aac9c
hexe8f6749eaed3

256145216155347 has 32 divisors (see below), whose sum is σ = 355189024669696. Its totient is φ = 164019056025600.

The previous prime is 256145216155343. The next prime is 256145216155391. The reversal of 256145216155347 is 743551612541652.

It is not a de Polignac number, because 256145216155347 - 22 = 256145216155343 is a prime.

It is a super-3 number, since 3×2561452161553473 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (256145216155343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8706979 + ... + 24250812.

It is an arithmetic number, because the mean of its divisors is an integer number (11099657020928).

Almost surely, 2256145216155347 is an apocalyptic number.

256145216155347 is a deficient number, since it is larger than the sum of its proper divisors (99043808514349).

256145216155347 is a wasteful number, since it uses less digits than its factorization.

256145216155347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32958451.

The product of its digits is 30240000, while the sum is 57.

Adding to 256145216155347 its reverse (743551612541652), we get a palindrome (999696828696999).

The spelling of 256145216155347 in words is "two hundred fifty-six trillion, one hundred forty-five billion, two hundred sixteen million, one hundred fifty-five thousand, three hundred forty-seven".

Divisors: 1 3 31 93 193 433 579 1299 5983 13423 17949 40269 83569 250707 2590639 7771917 32957791 98873373 1021691521 3065074563 6360853663 14270723503 19082560989 42812170509 197186463553 442392428593 591559390659 1327177285779 2754249636079 8262748908237 85381738718449 256145216155347