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55440217125 = 345329434391
BaseRepresentation
bin110011101000011111…
…101001010000100101
312022002201112211120000
4303220133221100211
51402020143422000
641245140131513
74001601033036
oct635037512045
9168081484500
1055440217125
112156a614767
12a8b2996b99
1352c6b81507
14297d064a8d
1516972a6000
hexce87e9425

55440217125 has 160 divisors (see below), whose sum is σ = 109432477440. Its totient is φ = 27878256000.

The previous prime is 55440217121. The next prime is 55440217153. The reversal of 55440217125 is 52171204455.

55440217125 is a `hidden beast` number, since 5 + 544 + 0 + 21 + 71 + 25 = 666.

55440217125 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 55440217125 - 22 = 55440217121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55440217125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55440217121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12623680 + ... + 12628070.

It is an arithmetic number, because the mean of its divisors is an integer number (683952984).

Almost surely, 255440217125 is an apocalyptic number.

It is an amenable number.

55440217125 is a deficient number, since it is larger than the sum of its proper divisors (53992260315).

55440217125 is a wasteful number, since it uses less digits than its factorization.

55440217125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 55440217125 in words is "fifty-five billion, four hundred forty million, two hundred seventeen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 43 45 75 81 87 125 129 135 145 215 225 261 375 387 405 435 645 675 725 783 1075 1125 1161 1247 1305 1935 2025 2175 2349 3225 3375 3483 3625 3741 3915 4391 5375 5805 6235 6525 9675 10125 10875 11223 11745 13173 16125 17415 18705 19575 21955 29025 31175 32625 33669 39519 48375 56115 58725 65865 87075 93525 97875 101007 109775 118557 127339 145125 155875 168345 188813 197595 280575 293625 329325 355671 382017 435375 467625 505035 548875 566439 592785 636695 841725 944065 987975 1146051 1402875 1646625 1699317 1778355 1910085 2525175 2832195 2963925 3183475 3438153 4208625 4720325 4939875 5097951 5475577 5730255 8496585 8891775 9550425 10314459 12625875 14160975 14819625 15293853 15917375 16426731 17190765 23601625 25489755 27377885 28651275 42482925 44458875 47752125 49280193 51572295 70804875 76469265 82133655 85953825 127448775 136889425 143256375 147840579 212414625 246400965 257861475 382346325 410668275 429769125 443521737 637243875 684447125 739202895 1232004825 1289307375 1911731625 2053341375 2217608685 3696014475 6160024125 11088043425 18480072375 55440217125