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55053408384 = 2732133676109
BaseRepresentation
bin110011010001011100…
…000101100010000000
312021002202200220201100
4303101130011202000
51400222133032014
641142521334400
73656163151542
oct632134054200
9167082626640
1055053408384
1121391239617
12a805337400
1352649ab1c0
142943935692
15167334b009
hexcd1705880

55053408384 has 96 divisors (see below), whose sum is σ = 170608265100. Its totient is φ = 16939505664.

The previous prime is 55053408383. The next prime is 55053408401. The reversal of 55053408384 is 48380435055.

55053408384 is a `hidden beast` number, since 550 + 53 + 40 + 8 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52257960000 + 2795448384 = 228600^2 + 52872^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (55053408383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1823079 + ... + 1853030.

Almost surely, 255053408384 is an apocalyptic number.

It is an amenable number.

55053408384 is an abundant number, since it is smaller than the sum of its proper divisors (115554856716).

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

55053408384 is a wasteful number, since it uses less digits than its factorization.

55053408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676142 (or 3676127 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 55053408384 in words is "fifty-five billion, fifty-three million, four hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 3676109 7352218 11028327 14704436 22056654 29408872 33084981 44113308 47789417 58817744 66169962 88226616 95578834 117635488 132339924 143368251 176453232 191157668 235270976 264679848 286736502 352906464 382315336 430104753 470541952 529359696 573473004 705812928 764630672 860209506 1058719392 1146946008 1411625856 1529261344 1720419012 2117438784 2293892016 3058522688 3440838024 4234877568 4587784032 6117045376 6881676048 9175568064 13763352096 18351136128 27526704192 55053408384