Search a number
-
+
55084275224 = 23112233179811
BaseRepresentation
bin110011010011010001…
…110101011000011000
312021011220210010001122
4303103101311120120
51400303033301344
641145543104412
73660016420406
oct632321653030
9167156703048
1055084275224
11213a7701300
12a813742108
13526b1c78c4
142947a8c476
151675de6aee
hexcd3475618

55084275224 has 96 divisors (see below), whose sum is σ = 122284753920. Its totient is φ = 23176824000.

The previous prime is 55084275209. The next prime is 55084275271. The reversal of 55084275224 is 42257248055.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650279 + ... + 730089.

It is an arithmetic number, because the mean of its divisors is an integer number (1273799520).

Almost surely, 255084275224 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 55084275224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61142376960).

55084275224 is an abundant number, since it is smaller than the sum of its proper divisors (67200478696).

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

55084275224 is a wasteful number, since it uses less digits than its factorization.

55084275224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79893 (or 79878 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 44.

The spelling of 55084275224 in words is "fifty-five billion, eighty-four million, two hundred seventy-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 121 124 184 242 248 253 341 484 506 682 713 968 1012 1364 1426 2024 2728 2783 2852 3751 5566 5704 7502 7843 11132 15004 15686 22264 30008 31372 62744 79811 86273 159622 172546 319244 345092 638488 690184 877921 1755842 1835653 2474141 3511684 3671306 4948282 7023368 7342612 9657131 9896564 14685224 19314262 19793128 20192183 27215551 38628524 40384366 54431102 56905243 77257048 80768732 108862204 113810486 161537464 217724408 222114013 227620972 299371061 444228026 455241944 598742122 625957673 888456052 1197484244 1251915346 1776912104 2394968488 2503830692 5007661384 6885534403 13771068806 27542137612 55084275224