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5128559568 = 24321113923293
BaseRepresentation
bin1001100011010111…
…11001101111010000
3111020102021211010200
410301223321233100
541000402401233
62204522455200
7241043015466
oct46153715720
914212254120
105128559568
1121a1a35790
12bb1664500
13639691842
143691a8836
1520039d313
hex131af9bd0

5128559568 has 120 divisors (see below), whose sum is σ = 15770969760. Its totient is φ = 1542862080.

The previous prime is 5128559563. The next prime is 5128559599. The reversal of 5128559568 is 8659558215.

5128559568 is a `hidden beast` number, since 5 + 1 + 28 + 5 + 59 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128559563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208530 + ... + 231822.

It is an arithmetic number, because the mean of its divisors is an integer number (131424748).

Almost surely, 25128559568 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 5128559568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885484880).

5128559568 is an abundant number, since it is smaller than the sum of its proper divisors (10642410192).

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

5128559568 is a wasteful number, since it uses less digits than its factorization.

5128559568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23457 (or 23448 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 54.

The square root of 5128559568 is about 71613.9621023722. The cubic root of 5128559568 is about 1724.5076876115.

The spelling of 5128559568 in words is "five billion, one hundred twenty-eight million, five hundred fifty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 139 144 176 198 264 278 396 417 528 556 792 834 1112 1251 1529 1584 1668 2224 2502 3058 3336 4587 5004 6116 6672 9174 10008 12232 13761 18348 20016 23293 24464 27522 36696 46586 55044 69879 73392 93172 110088 139758 186344 209637 220176 256223 279516 372688 419274 512446 559032 768669 838548 1024892 1118064 1537338 1677096 2049784 2306007 3074676 3237727 3354192 4099568 4612014 6149352 6475454 9224028 9713181 12298704 12950908 18448056 19426362 25901816 29139543 35614997 36896112 38852724 51803632 58279086 71229994 77705448 106844991 116558172 142459988 155410896 213689982 233116344 284919976 320534973 427379964 466232688 569839952 641069946 854759928 1282139892 1709519856 2564279784 5128559568