Search a number
-
+
55252477472175 = 33522318711902157
BaseRepresentation
bin11001001000000011110000…
…10010101110110110101111
321020122002022011011212121000
430210001320102232312233
524220224033213102200
6313302345430211343
714431600620324054
oct1444017022566657
9236562264155530
1055252477472175
1116672498116365
126244372ab3b53
1324aa394c18699
14d9033c82b02b
1565c39c926300
hex3240784aedaf

55252477472175 has 96 divisors (see below), whose sum is σ = 105970591733760. Its totient is φ = 28171691222400.

The previous prime is 55252477472161. The next prime is 55252477472197. The reversal of 55252477472175 is 57127477425255.

55252477472175 is a `hidden beast` number, since 5 + 5 + 2 + 5 + 24 + 77 + 472 + 1 + 75 = 666.

55252477472175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55252477472175 - 26 = 55252477472111 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28096197 + ... + 29998353.

It is an arithmetic number, because the mean of its divisors is an integer number (1103860330560).

Almost surely, 255252477472175 is an apocalyptic number.

55252477472175 is a deficient number, since it is larger than the sum of its proper divisors (50718114261585).

55252477472175 is a wasteful number, since it uses less digits than its factorization.

55252477472175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904070 (or 1904059 counting only the distinct ones).

The product of its digits is 192080000, while the sum is 63.

The spelling of 55252477472175 in words is "fifty-five trillion, two hundred fifty-two billion, four hundred seventy-seven million, four hundred seventy-two thousand, one hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 115 135 207 225 345 575 621 675 1035 1725 1871 3105 5175 5613 9355 15525 16839 28065 43033 46775 50517 84195 129099 140325 215165 252585 387297 420975 645495 1075825 1161891 1262925 1902157 1936485 3227475 5706471 5809455 9510785 9682425 17119413 28532355 29047275 43749611 47553925 51358239 85597065 131248833 142661775 218748055 256791195 393746499 427985325 656244165 1093740275 1181239497 1283955975 1968732495 3281220825 3558935747 5906197485 9843662475 10676807241 17794678735 29530987425 32030421723 53384036205 81855522181 88973393675 96091265169 160152108615 245566566543 266920181025 409277610905 480456325845 736699699629 800760543075 1227832832715 2046388054525 2210099098887 2402281629225 3683498498145 6139164163575 11050495494435 18417492490725 55252477472175