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55644216768288 = 2533173788413451
BaseRepresentation
bin11001010011011101011011…
…10001100011011100100000
321022000112110010210000012000
430221232231301203130200
524243133323443041123
6314202333355004000
714502106364362221
oct1451565561433440
9238015403700160
1055644216768288
11168036417a6655
1262a827b739600
1325082c4cc4155
14da52a1861248
15667678ec8b43
hex329badc63720

55644216768288 has 96 divisors (see below), whose sum is σ = 171842434182720. Its totient is φ = 17457009177600.

The previous prime is 55644216768281. The next prime is 55644216768347. The reversal of 55644216768288 is 88286761244655.

It is a happy number.

55644216768288 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 421 + 67 + 68 + 2 + 88 = 666.

55644216768288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (55644216768281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1894192038 + ... + 1894221413.

It is an arithmetic number, because the mean of its divisors is an integer number (1790025356070).

Almost surely, 255644216768288 is an apocalyptic number.

It is an amenable number.

55644216768288 is an abundant number, since it is smaller than the sum of its proper divisors (116198217414432).

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

55644216768288 is a wasteful number, since it uses less digits than its factorization.

55644216768288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788413487 (or 3788413473 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 72.

The spelling of 55644216768288 in words is "fifty-five trillion, six hundred forty-four billion, two hundred sixteen million, seven hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 3788413451 7576826902 11365240353 15153653804 22730480706 30307307608 34095721059 45460961412 60614615216 64403028667 68191442118 90921922824 102287163177 121229230432 128806057334 136382884236 181843845648 193209086001 204574326354 257612114668 272765768472 363687691296 386418172002 409148652708 515224229336 545531536944 579627258003 772836344004 818297305416 1030448458672 1091063073888 1159254516006 1545672688008 1636594610832 1738881774009 2060896917344 2318509032012 3091345376016 3273189221664 3477763548018 4637018064024 6182690752032 6955527096036 9274036128048 13911054192072 18548072256096 27822108384144 55644216768288