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56632455540 = 223251621194093
BaseRepresentation
bin110100101111100011…
…101011000101110100
312102011210221211012100
4310233203223011310
51411440402034130
642003330022100
74043255633553
oct645743530564
9172153854170
1056632455540
11220215aa071
12ab86117930
135456b88c2b
142a53533d9a
151716cabc60
hexd2f8eb174

56632455540 has 72 divisors (see below), whose sum is σ = 171891975528. Its totient is φ = 15092593920.

The previous prime is 56632455527. The next prime is 56632455547. The reversal of 56632455540 is 4555423665.

56632455540 is a `hidden beast` number, since 5 + 6 + 63 + 2 + 45 + 5 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10284393744 + 46348061796 = 101412^2 + 215286^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56632455547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194734 + ... + 388826.

It is an arithmetic number, because the mean of its divisors is an integer number (2387388549).

Almost surely, 256632455540 is an apocalyptic number.

It is an amenable number.

56632455540 is an abundant number, since it is smaller than the sum of its proper divisors (115259519988).

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

56632455540 is a wasteful number, since it uses less digits than its factorization.

56632455540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195729 (or 195724 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 56632455540 in words is "fifty-six billion, six hundred thirty-two million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1621 3242 4863 6484 8105 9726 14589 16210 19452 24315 29178 32420 48630 58356 72945 97260 145890 194093 291780 388186 582279 776372 970465 1164558 1746837 1940930 2329116 2911395 3493674 3881860 5822790 6987348 8734185 11645580 17468370 34936740 314624753 629249506 943874259 1258499012 1573123765 1887748518 2831622777 3146247530 3775497036 4719371295 5663245554 6292495060 9438742590 11326491108 14158113885 18877485180 28316227770 56632455540