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56608410804 = 2231119313811609
BaseRepresentation
bin110100101110000111…
…111100110010110100
312102010010201020000120
4310232013330302310
51411413223121204
642001110411540
74042544360361
oct645607746264
9172103636016
1056608410804
1122009a76990
12ab7a060bb0
135451bba78a
142a50275468
151714b0c6d9
hexd2e1fccb4

56608410804 has 96 divisors (see below), whose sum is σ = 145035703680. Its totient is φ = 17042227200.

The previous prime is 56608410799. The next prime is 56608410809. The reversal of 56608410804 is 40801480665.

It is an interprime number because it is at equal distance from previous prime (56608410799) and next prime (56608410809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56608410809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35181552 + ... + 35183160.

It is an arithmetic number, because the mean of its divisors is an integer number (1510788580).

Almost surely, 256608410804 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 56608410804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72517851840).

56608410804 is an abundant number, since it is smaller than the sum of its proper divisors (88427292876).

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

56608410804 is a wasteful number, since it uses less digits than its factorization.

56608410804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 56608410804 in words is "fifty-six billion, six hundred eight million, four hundred ten thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 1381 1609 2123 2316 2762 3218 4143 4246 4827 5524 6369 6436 8286 8492 9654 12738 15191 16572 17699 19308 25476 30382 35398 45573 53097 60764 70796 91146 106194 182292 212388 266533 310537 533066 621074 799599 931611 1066132 1242148 1599198 1863222 2222029 2931863 3198396 3415907 3726444 4444058 5863726 6666087 6831814 8795589 8888116 10247721 11727452 13332174 13663628 17591178 20495442 24442319 26664348 35182356 40990884 48884638 73326957 97769276 146653914 293307828 428851597 857703194 1286554791 1715406388 2573109582 4717367567 5146219164 9434735134 14152102701 18869470268 28304205402 56608410804