Search a number
-
+
55218323855520 = 2535572411634337
BaseRepresentation
bin11001000111000100001001…
…00101000001100010100000
321020111211010221010101100000
430203202010211001202200
524214144111401334040
6313234540415500000
714426251353346500
oct1443420445014240
9236454127111300
1055218323855520
1116659a613066a1
126239820b27600
1324a70b1167a67
14d8c81c8c1a00
1565b54e331130
hex3238849418a0

55218323855520 has 1728 divisors, whose sum is σ = 234342320075136. Its totient is φ = 12235129159680.

The previous prime is 55218323855483. The next prime is 55218323855551. The reversal of 55218323855520 is 2555832381255.

55218323855520 is a `hidden beast` number, since 5 + 5 + 2 + 1 + 8 + 3 + 2 + 3 + 85 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12731914792 + ... + 12731919128.

It is an arithmetic number, because the mean of its divisors is an integer number (135614768562).

Almost surely, 255218323855520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55218323855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117171160037568).

55218323855520 is an abundant number, since it is smaller than the sum of its proper divisors (179123996219616).

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

55218323855520 is a wasteful number, since it uses less digits than its factorization.

55218323855520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 55218323855520 in words is "fifty-five trillion, two hundred eighteen billion, three hundred twenty-three million, eight hundred fifty-five thousand, five hundred twenty".