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56578649344 = 28741975353
BaseRepresentation
bin110100101100010110…
…011010110100000000
312102001001201011222021
4310230112122310000
51411333113234334
641554124451224
74042033404310
oct645426326400
9172031634867
1056578649344
1121aa4199738
12ab700a9b14
13544899a249
142a4a329440
1517121ce3b4
hexd2c59ad00

56578649344 has 72 divisors (see below), whose sum is σ = 129379803840. Its totient is φ = 24189800448.

The previous prime is 56578649341. The next prime is 56578649359. The reversal of 56578649344 is 44394687565.

It is a super-2 number, since 2×565786493442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56578649341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713172 + ... + 788524.

It is an arithmetic number, because the mean of its divisors is an integer number (1796941720).

Almost surely, 256578649344 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 56578649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64689901920).

56578649344 is an abundant number, since it is smaller than the sum of its proper divisors (72801154496).

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

56578649344 is an equidigital number, since it uses as much as digits as its factorization.

56578649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75795 (or 75781 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 61.

The spelling of 56578649344 in words is "fifty-six billion, five hundred seventy-eight million, six hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 419 448 838 896 1676 1792 2933 3352 5866 6704 11732 13408 23464 26816 46928 53632 75353 93856 107264 150706 187712 301412 375424 527471 602824 750848 1054942 1205648 2109884 2411296 4219768 4822592 8439536 9645184 16879072 19290368 31572907 33758144 63145814 67516288 126291628 135032576 221010349 252583256 442020698 505166512 884041396 1010333024 1768082792 2020666048 3536165584 4041332096 7072331168 8082664192 14144662336 28289324672 56578649344