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5256539136 = 21032678513
BaseRepresentation
bin1001110010101000…
…00110110000000000
3111120100002212002200
410321110012300000
541231133223021
62225333513200
7244155562662
oct47124066000
914510085080
105256539136
1122581a7722
1210284a2800
1365a0507b4
1437c1a0532
1520b72d126
hex139506c00

5256539136 has 132 divisors (see below), whose sum is σ = 15406491672. Its totient is φ = 1725825024.

The previous prime is 5256539083. The next prime is 5256539147. The reversal of 5256539136 is 6319356525.

5256539136 is a `hidden beast` number, since 5 + 256 + 5 + 391 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5256539091 and 5256539100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613216 + ... + 621728.

It is an arithmetic number, because the mean of its divisors is an integer number (116715846).

Almost surely, 25256539136 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 5256539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703245836).

5256539136 is an abundant number, since it is smaller than the sum of its proper divisors (10149952536).

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

5256539136 is a wasteful number, since it uses less digits than its factorization.

5256539136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 8585 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The square root of 5256539136 is about 72501.9940139580. The cubic root of 5256539136 is about 1738.7346170557.

The spelling of 5256539136 in words is "five billion, two hundred fifty-six million, five hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1152 1206 1536 1608 2144 2304 2412 3072 3216 4288 4608 4824 6432 8513 8576 9216 9648 12864 17026 17152 19296 25539 25728 34052 34304 38592 51078 51456 68104 68608 76617 77184 102156 102912 136208 153234 154368 204312 205824 272416 306468 308736 408624 544832 570371 612936 617472 817248 1089664 1140742 1225872 1634496 1711113 2179328 2281484 2451744 3268992 3422226 4358656 4562968 4903488 5133339 6537984 6844452 8717312 9125936 9806976 10266678 13075968 13688904 18251872 19613952 20533356 26151936 27377808 36503744 39227904 41066712 54755616 73007488 78455808 82133424 109511232 146014976 164266848 219022464 292029952 328533696 438044928 584059904 657067392 876089856 1314134784 1752179712 2628269568 5256539136