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427157715375 = 3353126565249
BaseRepresentation
bin1100011011101001001…
…01010111100110101111
31111211120100121020212000
412031310211113212233
523444304333343000
6524122240143343
742601236446526
oct6156445274657
91454510536760
10427157715375
1115517a437976
126a952307b53
1331385bbc801
1416962d3b4bd
15b1a0c34000
hex63749579af

427157715375 has 32 divisors (see below), whose sum is σ = 789767160000. Its totient is φ = 227817446400.

The previous prime is 427157715359. The next prime is 427157715401. The reversal of 427157715375 is 573517751724.

It is a happy number.

427157715375 is a `hidden beast` number, since 4 + 27 + 1 + 577 + 15 + 37 + 5 = 666.

It is not a de Polignac number, because 427157715375 - 24 = 427157715359 is a prime.

It is a super-2 number, since 2×4271577153752 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 63279250 + ... + 63285999.

It is an arithmetic number, because the mean of its divisors is an integer number (24680223750).

Almost surely, 2427157715375 is an apocalyptic number.

427157715375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

427157715375 is a deficient number, since it is larger than the sum of its proper divisors (362609444625).

427157715375 is a wasteful number, since it uses less digits than its factorization.

427157715375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126565273 (or 126565257 counting only the distinct ones).

The product of its digits is 7203000, while the sum is 54.

It can be divided in two parts, 42715771 and 5375, that added together give a triangular number (42721146 = T9243).

The spelling of 427157715375 in words is "four hundred twenty-seven billion, one hundred fifty-seven million, seven hundred fifteen thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 3375 126565249 379695747 632826245 1139087241 1898478735 3164131225 3417261723 5695436205 9492393675 15820656125 17086308615 28477181025 47461968375 85431543075 142385905125 427157715375