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5253904964 = 2271147675417
BaseRepresentation
bin1001110010010100…
…00011101001000100
3111120011011000200202
410321022003221010
541224444424324
62225201230032
7244124312120
oct47112035104
914504130622
105253904964
112256768620
121027632318
1365963a809
1437bab6580
1520b3ac8ae
hex139283a44

5253904964 has 96 divisors (see below), whose sum is σ = 11883884544. Its totient is φ = 1973157120.

The previous prime is 5253904963. The next prime is 5253905009. The reversal of 5253904964 is 4694093525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (5253904963) 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 31 ways as a sum of consecutive naturals, for example, 967184 + ... + 972600.

It is an arithmetic number, because the mean of its divisors is an integer number (123790464).

Almost surely, 25253904964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5253904964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941942272).

5253904964 is an abundant number, since it is smaller than the sum of its proper divisors (6629979580).

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

5253904964 is a wasteful number, since it uses less digits than its factorization.

5253904964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 47.

The square root of 5253904964 is about 72483.8255337010. The cubic root of 5253904964 is about 1738.4441286306. Note that the first 3 decimals are identical.

The spelling of 5253904964 in words is "five billion, two hundred fifty-three million, nine hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 67 77 94 134 154 188 268 308 329 469 517 658 737 938 1034 1316 1474 1876 2068 2948 3149 3619 5159 5417 6298 7238 10318 10834 12596 14476 20636 21668 22043 34639 37919 44086 59587 69278 75838 88172 119174 138556 151676 238348 242473 254599 362939 417109 484946 509198 725878 834218 969892 1018396 1451756 1668436 1782193 2540573 2800589 3564386 3992329 5081146 5601178 7128772 7984658 10162292 11202356 15969316 17058133 19604123 27946303 34116266 39208246 55892606 68232532 78416492 111785212 119406931 187639463 238813862 375278926 477627724 750557852 1313476241 2626952482 5253904964