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56783623652 = 22717292831709
BaseRepresentation
bin110100111000100100…
…010101010111100100
312102120100101221212022
4310320210111113210
51412243101424102
642030330042312
74050102560120
oct647044252744
9172510357768
1056783623652
1122099969998
12b008879398
13547c2a6712
142a69644580
1517251bc5a2
hexd389155e4

56783623652 has 144 divisors (see below), whose sum is σ = 126111323520. Its totient is φ = 21835290624.

The previous prime is 56783623643. The next prime is 56783623661. The reversal of 56783623652 is 25632638765.

It is an interprime number because it is at equal distance from previous prime (56783623643) and next prime (56783623661).

It is a junction number, because it is equal to n+sod(n) for n = 56783623594 and 56783623603.

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, 33225374 + ... + 33227082.

It is an arithmetic number, because the mean of its divisors is an integer number (875773080).

Almost surely, 256783623652 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 56783623652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63055661760).

56783623652 is an abundant number, since it is smaller than the sum of its proper divisors (69327699868).

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

56783623652 is a wasteful number, since it uses less digits than its factorization.

56783623652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1847 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 53.

The spelling of 56783623652 in words is "fifty-six billion, seven hundred eighty-three million, six hundred twenty-three thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 83 116 119 166 203 238 332 406 476 493 581 812 841 986 1162 1411 1682 1709 1972 2324 2407 2822 3364 3418 3451 4814 5644 5887 6836 6902 9628 9877 11774 11963 13804 14297 16849 19754 23548 23926 28594 29053 33698 39508 40919 47852 49561 57188 58106 67396 69803 81838 99122 100079 116212 139606 141847 163676 198244 200158 203371 279212 283694 286433 346927 400316 406742 488621 567388 572866 693854 813484 842537 977242 992929 1145732 1186651 1387708 1437269 1685074 1954484 1985858 2373302 2411399 2874538 3370148 3971716 4113563 4746604 4822798 5749076 5897759 8227126 8306557 9645596 10060883 11795518 16454252 16613114 16879793 20121766 23591036 24433573 28794941 33226228 33759586 40243532 48867146 57589882 67519172 69930571 97734292 115179764 119293327 139861142 171035011 238586654 279722284 342070022 477173308 489513997 684140044 835053289 979027994 1670106578 1958055988 2027986559 3340213156 4055973118 8111946236 14195905913 28391811826 56783623652