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5681613312 = 29326591871
BaseRepresentation
bin1010100101010011…
…01000101000000000
3112122221221212020200
411102221220220000
543113443111222
62335440405200
7260536626204
oct52251505000
915587855220
105681613312
1124561391a1
121126916800
136c7130c8b
143bc810b04
15233be5eac
hex152a68a00

5681613312 has 120 divisors (see below), whose sum is σ = 16431180480. Its totient is φ = 1889986560.

The previous prime is 5681613281. The next prime is 5681613313. The reversal of 5681613312 is 2133161865.

5681613312 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 613 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5681613313) 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 11 ways as a sum of consecutive naturals, for example, 3035737 + ... + 3037607.

It is an arithmetic number, because the mean of its divisors is an integer number (136926504).

Almost surely, 25681613312 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 5681613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215590240).

5681613312 is an abundant number, since it is smaller than the sum of its proper divisors (10749567168).

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

5681613312 is a wasteful number, since it uses less digits than its factorization.

5681613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2535 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5681613312 is about 75376.4771795552. The cubic root of 5681613312 is about 1784.3931915694.

The spelling of 5681613312 in words is "five billion, six hundred eighty-one million, six hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 659 768 1152 1318 1536 1871 1977 2304 2636 3742 3954 4608 5272 5613 5931 7484 7908 10544 11226 11862 14968 15816 16839 21088 22452 23724 29936 31632 33678 42176 44904 47448 59872 63264 67356 84352 89808 94896 119744 126528 134712 168704 179616 189792 239488 253056 269424 337408 359232 379584 478976 506112 538848 718464 759168 957952 1012224 1077696 1232989 1436928 1518336 2155392 2465978 2873856 3036672 3698967 4310784 4931956 7397934 8621568 9863912 11096901 14795868 19727824 22193802 29591736 39455648 44387604 59183472 78911296 88775208 118366944 157822592 177550416 236733888 315645184 355100832 473467776 631290368 710201664 946935552 1420403328 1893871104 2840806656 5681613312