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5006378853 = 33724780513
BaseRepresentation
bin1001010100110011…
…10100011101100101
3110220220101101201000
410222121310131211
540223113110403
62144440023513
7235030342500
oct45231643545
913826341630
105006378853
112139a74593
12b78761b99
1361a283168
14356c82137
151e47b67a3
hex12a674765

5006378853 has 48 divisors (see below), whose sum is σ = 8811452160. Its totient is φ = 2799885312.

The previous prime is 5006378849. The next prime is 5006378857. The reversal of 5006378853 is 3588736005.

5006378853 is a `hidden beast` number, since 5 + 0 + 0 + 637 + 8 + 8 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (5006378849) and next prime (5006378857).

It is not a de Polignac number, because 5006378853 - 22 = 5006378849 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5006378799 and 5006378808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006378857) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21925 + ... + 102437.

It is an arithmetic number, because the mean of its divisors is an integer number (183571920).

Almost surely, 25006378853 is an apocalyptic number.

It is an amenable number.

5006378853 is a deficient number, since it is larger than the sum of its proper divisors (3805073307).

5006378853 is a wasteful number, since it uses less digits than its factorization.

5006378853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80583 (or 80570 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5006378853 is about 70755.7690439444. The cubic root of 5006378853 is about 1710.7028166710.

The spelling of 5006378853 in words is "five billion, six million, three hundred seventy-eight thousand, eight hundred fifty-three".

Divisors: 1 3 7 9 21 27 47 49 63 141 147 189 329 423 441 987 1269 1323 2303 2961 6909 8883 20727 62181 80513 241539 563591 724617 1690773 2173851 3784111 3945137 5072319 11352333 11835411 15216957 26488777 34056999 35506233 79466331 102170997 106518699 185421439 238398993 556264317 715196979 1668792951 5006378853