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56561525244 = 223274315733247
BaseRepresentation
bin110100101011010101…
…000110000111111100
312101222212111012010100
4310223111012013330
51411314222301434
641552313441100
74041435013650
oct645325060774
9171885435110
1056561525244
1121a95563094
12ab66410190
135445282b43
142a47d4ca60
15171094a699
hexd2b5461fc

56561525244 has 144 divisors (see below), whose sum is σ = 168269989888. Its totient is φ = 15683601024.

The previous prime is 56561525219. The next prime is 56561525257. The reversal of 56561525244 is 44252516565.

56561525244 is a `hidden beast` number, since 5 + 6 + 5 + 615 + 2 + 5 + 24 + 4 = 666.

It is a super-2 number, since 2×565615252442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56561525244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1684629 + ... + 1717875.

Almost surely, 256561525244 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 56561525244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84134994944).

56561525244 is an abundant number, since it is smaller than the sum of its proper divisors (111708464644).

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

56561525244 is a wasteful number, since it uses less digits than its factorization.

56561525244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33464 (or 33459 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 56561525244 in words is "fifty-six billion, five hundred sixty-one million, five hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 157 172 252 258 301 314 387 471 516 602 628 774 903 942 1099 1204 1413 1548 1806 1884 2198 2709 2826 3297 3612 4396 5418 5652 6594 6751 9891 10836 13188 13502 19782 20253 27004 33247 39564 40506 47257 60759 66494 81012 94514 99741 121518 132988 141771 189028 199482 232729 243036 283542 299223 398964 425313 465458 567084 598446 698187 850626 930916 1196892 1396374 1429621 1701252 2094561 2792748 2859242 4189122 4288863 5219779 5718484 8378244 8577726 10007347 10439558 12866589 15659337 17155452 20014694 20879116 25733178 30022041 31318674 36538453 40029388 46978011 51466356 60044082 62637348 73076906 90066123 93956022 109615359 120088164 146153812 180132246 187912044 219230718 224450497 328846077 360264492 438461436 448900994 657692154 673351491 897801988 1315384308 1346702982 1571153479 2020054473 2693405964 3142306958 4040108946 4713460437 6284613916 8080217892 9426920874 14140381311 18853841748 28280762622 56561525244