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542441382455 = 572171919493517
BaseRepresentation
bin1111110010011000000…
…01101010001000110111
31220212010200011022212102
413321030001222020313
532341404443214310
61053105533212315
754122126450300
oct7711401521067
91825120138772
10542441382455
1119a059023295
128916663109b
133c1c8c47b2b
141c37bb437a7
15e19bb178a5
hex7e4c06a237

542441382455 has 96 divisors (see below), whose sum is σ = 844615512000. Its totient is φ = 331390144512.

The previous prime is 542441382451. The next prime is 542441382463. The reversal of 542441382455 is 554283144245.

It is not a de Polignac number, because 542441382455 - 22 = 542441382451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542441382451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154232357 + ... + 154235873.

It is an arithmetic number, because the mean of its divisors is an integer number (8798078250).

Almost surely, 2542441382455 is an apocalyptic number.

542441382455 is a deficient number, since it is larger than the sum of its proper divisors (302174129545).

542441382455 is a wasteful number, since it uses less digits than its factorization.

542441382455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5514 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 47.

The spelling of 542441382455 in words is "five hundred forty-two billion, four hundred forty-one million, three hundred eighty-two thousand, four hundred fifty-five".

Divisors: 1 5 7 17 19 35 49 85 95 119 133 245 323 595 665 833 931 1615 1949 2261 3517 4165 4655 9745 11305 13643 15827 17585 24619 33133 37031 59789 66823 68215 79135 95501 123095 165665 172333 185155 231931 259217 298945 334115 418523 467761 477505 629527 861665 1135991 1159655 1296085 1623517 1814519 2092615 2338805 2929661 3147635 3274327 4406689 5679955 6854633 7951937 8117585 9072595 14648305 16371635 22033445 30846823 34273165 39759685 47982431 55663559 116528761 130238027 154234115 239912155 278317795 335877017 582643805 651190135 815701327 911666189 1679385085 2214046459 4078506635 4558330945 5709909289 6381663323 11070232295 15498325213 28549546445 31908316615 77491626065 108488276491 542441382455