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55151145442125 = 3353194637185477
BaseRepresentation
bin11001000101000111000000…
…11011101101101101001101
321020021101202011002101122000
430202203200123231231031
524212044021213122000
6313144030401142513
714421352540303035
oct1442434033555515
9236241664071560
1055151145442125
11166335188a6387
1262287b302aa39
1324a0966467ca5
14d8948890c8c5
1565991b7c1000
hex3228e06edb4d

55151145442125 has 128 divisors (see below), whose sum is σ = 107358821107200. Its totient is φ = 27859682246400.

The previous prime is 55151145442061. The next prime is 55151145442171. The reversal of 55151145442125 is 52124454115155.

55151145442125 is a `hidden beast` number, since 5 + 5 + 1 + 51 + 14 + 544 + 21 + 25 = 666.

55151145442125 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 55151145442125 - 26 = 55151145442061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 297254887 + ... + 297440363.

It is an arithmetic number, because the mean of its divisors is an integer number (838740789900).

Almost surely, 255151145442125 is an apocalyptic number.

It is an amenable number.

55151145442125 is a deficient number, since it is larger than the sum of its proper divisors (52207675665075).

55151145442125 is a wasteful number, since it uses less digits than its factorization.

55151145442125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190157 (or 190141 counting only the distinct ones).

The product of its digits is 800000, while the sum is 45.

The spelling of 55151145442125 in words is "fifty-five trillion, one hundred fifty-one billion, one hundred forty-five million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 95 125 135 171 225 285 375 475 513 675 855 1125 1425 2375 2565 3375 4275 4637 7125 12825 13911 21375 23185 41733 64125 69555 88103 115925 125199 185477 208665 264309 347775 440515 556431 579625 625995 792927 927385 1043325 1321545 1669293 1738875 2202575 2378781 2782155 3129975 3524063 3964635 4636925 5007879 5216625 6607725 8346465 10572189 11012875 11893905 13910775 15649875 17620315 19823175 23184625 25039395 31716567 33038625 41732325 52860945 59469525 69553875 88101575 95149701 99115875 125196975 158582835 208661625 264304725 297347625 440507875 475748505 625984875 792914175 860056849 1321523625 2378742525 2580170547 3964570875 4300284245 7740511641 11893712625 12900852735 16341080131 21501421225 23221534923 38702558205 49023240393 64504263675 81705400655 107507106125 116107674615 147069721179 193512791025 245116201965 322521318375 408527003275 441209163537 580538373075 735348605895 967563955125 1225581009825 2042635016375 2206045817685 2902691865375 3676743029475 6127905049125 11030229088425 18383715147375 55151145442125