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55353244235355 = 33511172192641879
BaseRepresentation
bin11001001010111111011100…
…11101011011011001011011
321020222201101202121211012000
430211133232131123121123
524223401421011012410
6313420532423452043
714442065664556533
oct1445375635333133
9236881352554160
1055353244235355
11167011a7350a40
12625b9b55b7023
1324b6a33541941
14d9517b6444c3
1565ece911edc0
hex3257ee75b65b

55353244235355 has 64 divisors (see below), whose sum is σ = 113666555059200. Its totient is φ = 25259234434560.

The previous prime is 55353244235347. The next prime is 55353244235417.

It is a happy number.

55353244235355 is a `hidden beast` number, since 5 + 5 + 3 + 53 + 2 + 4 + 4 + 235 + 355 = 666.

55353244235355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55353244235355 - 23 = 55353244235347 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1096295695 + ... + 1096346184.

It is an arithmetic number, because the mean of its divisors is an integer number (1776039922800).

Almost surely, 255353244235355 is an apocalyptic number.

55353244235355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55353244235355 is an abundant number, since it is smaller than the sum of its proper divisors (58313310823845).

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

55353244235355 is a wasteful number, since it uses less digits than its factorization.

55353244235355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192641921 (or 2192641915 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 55353244235355 in words is "fifty-five trillion, three hundred fifty-three billion, two hundred forty-four million, two hundred thirty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 297 459 495 561 765 935 1485 1683 2295 2805 5049 8415 25245 2192641879 6577925637 10963209395 19733776911 24119060669 32889628185 37274911943 59201330733 72357182007 98668884555 111824735829 120595303345 186374559715 217071546021 296006653665 335474207487 361785910035 410024031373 559123679145 651214638063 1006422622461 1085357730105 1230072094119 1677371037435 2050120156865 3256073190315 3690216282357 5032113112305 6150360470595 11070648847071 18451081411785 55353244235355