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20578052475 = 3252177175773
BaseRepresentation
bin10011001010100011…
…000010100101111011
31222010010020101011200
4103022203002211323
5314120440134400
613241535025243
71325641363041
oct231243024573
958103211150
1020578052475
1187aa857442
123ba366b223
131c2c38a816
14dd2d98391
158068a0b00
hex4ca8c297b

20578052475 has 72 divisors (see below), whose sum is σ = 39575850912. Its totient is φ = 10183756800.

The previous prime is 20578052447. The next prime is 20578052489. The reversal of 20578052475 is 57425087502.

20578052475 is a `hidden beast` number, since 2 + 0 + 57 + 8 + 0 + 524 + 75 = 666.

It is not a de Polignac number, because 20578052475 - 28 = 20578052219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20578052475.

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 71 ways as a sum of consecutive naturals, for example, 233689 + ... + 309461.

It is an arithmetic number, because the mean of its divisors is an integer number (549664596).

Almost surely, 220578052475 is an apocalyptic number.

20578052475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20578052475 is a deficient number, since it is larger than the sum of its proper divisors (18997798437).

20578052475 is a wasteful number, since it uses less digits than its factorization.

20578052475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75877 (or 75869 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 20578052475 in words is "twenty billion, five hundred seventy-eight million, fifty-two thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 71 75 85 153 213 225 255 355 425 639 765 1065 1207 1275 1775 3195 3621 3825 5325 6035 10863 15975 18105 30175 54315 75773 90525 227319 271575 378865 681957 1136595 1288141 1894325 3409785 3864423 5379883 5682975 6440705 11593269 16139649 17048925 19322115 26899415 32203525 48418947 57966345 80698245 91458011 96610575 134497075 242094735 274374033 289831725 403491225 457290055 823122099 1210473675 1371870165 2286450275 4115610495 6859350825 20578052475