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36543531040 = 2552911369697
BaseRepresentation
bin100010000010001010…
…100000100000100000
310111022210002201110121
4202002022200200200
51044320120443130
624442102410024
72432403613552
oct420212404040
9114283081417
1036543531040
1114552963825
1270ba430914
1335a4c47a63
141aa95014d2
15e3d327d7a
hex8822a0820

36543531040 has 96 divisors (see below), whose sum is σ = 90102786480. Its totient is φ = 13988265984.

The previous prime is 36543531023. The next prime is 36543531047. The reversal of 36543531040 is 4013534563.

It can be written as a sum of positive squares in 8 ways, for example, as 18418832656 + 18124698384 = 135716^2 + 134628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36543530987 and 36543531005.

It is not an unprimeable number, because it can be changed into a prime (36543531047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489472 + ... + 559168.

Almost surely, 236543531040 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 36543531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45051393240).

36543531040 is an abundant number, since it is smaller than the sum of its proper divisors (53559255440).

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

36543531040 is a wasteful number, since it uses less digits than its factorization.

36543531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69854 (or 69846 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 36543531040 in words is "thirty-six billion, five hundred forty-three million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 113 116 145 160 226 232 290 452 464 565 580 904 928 1130 1160 1808 2260 2320 3277 3616 4520 4640 6554 9040 13108 16385 18080 26216 32770 52432 65540 69697 104864 131080 139394 262160 278788 348485 524320 557576 696970 1115152 1393940 2021213 2230304 2787880 4042426 5575760 7875761 8084852 10106065 11151520 15751522 16169704 20212130 31503044 32339408 39378805 40424260 63006088 64678816 78757610 80848520 126012176 157515220 161697040 228397069 252024352 315030440 323394080 456794138 630060880 913588276 1141985345 1260121760 1827176552 2283970690 3654353104 4567941380 7308706208 9135882760 18271765520 36543531040