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5002578048 = 273136714957
BaseRepresentation
bin1001010100010110…
…10100100010000000
3110220122020021222110
410222023110202000
540221124444143
62144222335320
7234653132436
oct45213244200
913818207873
105002578048
112137908a26
12b7742a540
13619552170
14356572d56
151e42b5533
hex12a2d4880

5002578048 has 128 divisors (see below), whose sum is σ = 14524816320. Its totient is φ = 1516179456.

The previous prime is 5002578047. The next prime is 5002578073. The reversal of 5002578048 is 8408752005.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 5002577997 and 5002578015.

It is not an unprimeable number, because it can be changed into a prime (5002578041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 326986 + ... + 341942.

Almost surely, 25002578048 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 5002578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262408160).

5002578048 is an abundant number, since it is smaller than the sum of its proper divisors (9522238272).

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

5002578048 is a wasteful number, since it uses less digits than its factorization.

5002578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15054 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 5002578048 is about 70728.9053216576. The cubic root of 5002578048 is about 1710.2697895177.

The spelling of 5002578048 in words is "five billion, two million, five hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 128 134 156 192 201 208 268 312 384 402 416 536 624 804 832 871 1072 1248 1608 1664 1742 2144 2496 2613 3216 3484 4288 4992 5226 6432 6968 8576 10452 12864 13936 14957 20904 25728 27872 29914 41808 44871 55744 59828 83616 89742 111488 119656 167232 179484 194441 239312 334464 358968 388882 478624 583323 717936 777764 957248 1002119 1166646 1435872 1555528 1914496 2004238 2333292 2871744 3006357 3111056 4008476 4666584 5743488 6012714 6222112 8016952 9333168 12025428 12444224 13027547 16033904 18666336 24050856 24888448 26055094 32067808 37332672 39082641 48101712 52110188 64135616 74665344 78165282 96203424 104220376 128271232 156330564 192406848 208440752 312661128 384813696 416881504 625322256 833763008 1250644512 1667526016 2501289024 5002578048