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56554511640 = 233511115337159
BaseRepresentation
bin110100101010111010…
…010101110100011000
312101222101021212021020
4310222322111310120
51411310423333030
641551503242440
74041321263064
oct645272256430
9171871255236
1056554511640
1121a91602720
12ab63ba9420
135443998693
142a47044aa4
151710012510
hexd2ae95d18

56554511640 has 128 divisors (see below), whose sum is σ = 185253004800. Its totient is φ = 13697925120.

The previous prime is 56554511603. The next prime is 56554511641. The reversal of 56554511640 is 4611545565.

56554511640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56554511592 and 56554511601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56554511641) 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, 1503381 + ... + 1540539.

It is an arithmetic number, because the mean of its divisors is an integer number (1447289100).

Almost surely, 256554511640 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 56554511640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92626502400).

56554511640 is an abundant number, since it is smaller than the sum of its proper divisors (128698493160).

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

56554511640 is a wasteful number, since it uses less digits than its factorization.

56554511640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38337 (or 38333 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 56554511640 in words is "fifty-six billion, five hundred fifty-four million, five hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1153 1320 2306 3459 4612 5765 6918 9224 11530 12683 13836 17295 23060 25366 27672 34590 37159 38049 46120 50732 63415 69180 74318 76098 101464 111477 126830 138360 148636 152196 185795 190245 222954 253660 297272 304392 371590 380490 408749 445908 507320 557385 743180 760980 817498 891816 1114770 1226247 1486360 1521960 1634996 2043745 2229540 2452494 3269992 4087490 4459080 4904988 6131235 8174980 9809976 12262470 16349960 24524940 42844327 49049880 85688654 128532981 171377308 214221635 257065962 342754616 428443270 471287597 514131924 642664905 856886540 942575194 1028263848 1285329810 1413862791 1713773080 1885150388 2356437985 2570659620 2827725582 3770300776 4712875970 5141319240 5655451164 7069313955 9425751940 11310902328 14138627910 18851503880 28277255820 56554511640