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5681623788 = 223217103173521
BaseRepresentation
bin1010100101010011…
…01011001011101100
3112122221222101121200
411102221223023230
543113443430123
62335440525500
7260540001561
oct52251531354
915587871550
105681623788
112456146055
121126920890
136c7135989
143bc814868
15233be9143
hex152a6b2ec

5681623788 has 144 divisors (see below), whose sum is σ = 15472731456. Its totient is φ = 1751592960.

The previous prime is 5681623723. The next prime is 5681623793. The reversal of 5681623788 is 8873261865.

5681623788 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 623 + 7 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10904968 + ... + 10905488.

It is an arithmetic number, because the mean of its divisors is an integer number (107449524).

Almost surely, 25681623788 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 5681623788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736365728).

5681623788 is an abundant number, since it is smaller than the sum of its proper divisors (9791107668).

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

5681623788 is a wasteful number, since it uses less digits than its factorization.

5681623788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5681623788 is about 75376.5466706986. The cubic root of 5681623788 is about 1784.3942882820.

The spelling of 5681623788 in words is "five billion, six hundred eighty-one million, six hundred twenty-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 173 204 206 306 309 346 412 519 521 612 618 692 927 1038 1042 1236 1557 1563 1751 1854 2076 2084 2941 3114 3126 3502 3708 4689 5253 5882 6228 6252 7004 8823 8857 9378 10506 11764 15759 17646 17714 17819 18756 21012 26469 26571 31518 35292 35428 35638 52938 53142 53457 53663 63036 71276 79713 90133 105876 106284 106914 107326 159426 160371 160989 180266 213828 214652 270399 302923 318852 320742 321978 360532 482967 540798 605846 641484 643956 811197 908769 912271 965934 1081596 1211692 1532261 1622394 1817538 1824542 1931868 2726307 2736813 3064522 3244788 3635076 3649084 4596783 5452614 5473626 6129044 8210439 9193566 9283699 10905228 10947252 13790349 16420878 18387132 18567398 27580698 27851097 32841756 37134796 55161396 55702194 83553291 111404388 157822883 167106582 315645766 334213164 473468649 631291532 946937298 1420405947 1893874596 2840811894 5681623788