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43085248848 = 2432417297637
BaseRepresentation
bin101000001000000101…
…001011100101010000
311010012200111102021100
4220020011023211100
51201214310430343
631443150224400
73053456400255
oct501005134520
9133180442240
1043085248848
11172aa555184
1284251b5100
1340a83142b5
14212a24542c
1511c27b99d3
hexa0814b950

43085248848 has 60 divisors (see below), whose sum is σ = 123519820788. Its totient is φ = 14011461120.

The previous prime is 43085248837. The next prime is 43085248849. The reversal of 43085248848 is 84884258034.

43085248848 is a `hidden beast` number, since 4 + 30 + 8 + 524 + 8 + 84 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4066357824 + 39018891024 = 63768^2 + 197532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 43085248794 and 43085248803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43085248849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3642915 + ... + 3654722.

Almost surely, 243085248848 is an apocalyptic number.

43085248848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

43085248848 is an abundant number, since it is smaller than the sum of its proper divisors (80434571940).

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

43085248848 is a wasteful number, since it uses less digits than its factorization.

43085248848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297692 (or 7297683 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

It can be divided in two parts, 43085248 and 848, that added together give a square (43086096 = 65642).

The spelling of 43085248848 in words is "forty-three billion, eighty-five million, two hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 7297637 14595274 21892911 29190548 43785822 58381096 65678733 87571644 116762192 131357466 175143288 262714932 299203117 350286576 525429864 598406234 897609351 1050859728 1196812468 1795218702 2393624936 2692828053 3590437404 4787249872 5385656106 7180874808 10771312212 14361749616 21542624424 43085248848