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55442135727405 = 32571011742641387
BaseRepresentation
bin11001001101100101000001…
…10011100011110100101101
321021022012211202122111021100
430212302200303203310231
524231330443221234110
6313525433204553313
714451363544023510
oct1446624063436455
9237265752574240
1055442135727405
1116735972276659
1262750830b2839
1324c222b7c484b
14d995b122ad77
1566229ced4bc0
hex326ca0ce3d2d

55442135727405 has 48 divisors (see below), whose sum is σ = 110915639063424. Its totient is φ = 25094035958400.

The previous prime is 55442135727389. The next prime is 55442135727413. The reversal of 55442135727405 is 50472753124455.

55442135727405 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 21 + 3 + 572 + 7 + 40 + 5 = 666.

55442135727405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55442135727405 - 24 = 55442135727389 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 871288879 + ... + 871352508.

It is an arithmetic number, because the mean of its divisors is an integer number (2310742480488).

Almost surely, 255442135727405 is an apocalyptic number.

It is an amenable number.

55442135727405 is an abundant number, since it is smaller than the sum of its proper divisors (55473503336019).

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

55442135727405 is a wasteful number, since it uses less digits than its factorization.

55442135727405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742641506 (or 1742641503 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 54.

The spelling of 55442135727405 in words is "fifty-five trillion, four hundred forty-two billion, one hundred thirty-five million, seven hundred twenty-seven thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 101 105 303 315 505 707 909 1515 2121 3535 4545 6363 10605 31815 1742641387 5227924161 8713206935 12198489709 15683772483 26139620805 36595469127 60992448545 78418862415 109786407381 176006780087 182977345635 528020340261 548932036905 880033900435 1232047460609 1584061020783 2640101701305 3696142381827 6160237303045 7920305103915 11088427145481 18480711909135 55442135727405