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55352443600224 = 253364065328241
BaseRepresentation
bin11001001010111101111101…
…01111001111110101100000
321020222122022222002100021000
430211132332233033311200
524223343301030201344
6313420321143232000
714442040103356401
oct1445367657176540
9236878288070230
1055352443600224
1116700926416a11
12625b811448600
1324b69366c8944
14d951031919a8
1565ec9dbbea69
hex3257bebcfd60

55352443600224 has 48 divisors (see below), whose sum is σ = 161444627169840. Its totient is φ = 18450814533120.

The previous prime is 55352443600163. The next prime is 55352443600243. The reversal of 55352443600224 is 42200634425355.

55352443600224 is a `hidden beast` number, since 5 + 5 + 3 + 524 + 43 + 60 + 0 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×553524436002243 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55352443600224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32032663257 + ... + 32032664984.

It is an arithmetic number, because the mean of its divisors is an integer number (3363429732705).

Almost surely, 255352443600224 is an apocalyptic number.

55352443600224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55352443600224 is an abundant number, since it is smaller than the sum of its proper divisors (106092183569616).

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

55352443600224 is a wasteful number, since it uses less digits than its factorization.

55352443600224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64065328260 (or 64065328246 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 55352443600224 in words is "fifty-five trillion, three hundred fifty-two billion, four hundred forty-three million, six hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 64065328241 128130656482 192195984723 256261312964 384391969446 512522625928 576587954169 768783938892 1025045251856 1153175908338 1537567877784 1729763862507 2050090503712 2306351816676 3075135755568 3459527725014 4612703633352 6150271511136 6919055450028 9225407266704 13838110900056 18450814533408 27676221800112 55352443600224