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45560902500 = 22325414232
BaseRepresentation
bin101010011011101001…
…000011001101100100
311100121012212122122100
4222123221003031210
51221302042340000
632532544132100
73202020165351
oct523351031544
9140535778570
1045560902500
111835aa3a433
1289b6307030
1343b119ac09
1422c2d59628
1512b9cd6a00
hexa9ba43364

45560902500 has 135 divisors (see below), whose sum is σ = 144014934063. Its totient is φ = 12141036000.

The previous prime is 45560902493. The next prime is 45560902507. The reversal of 45560902500 is 520906554.

The square root of 45560902500 is 213450.

It is a perfect power (a square), and thus also a powerful number.

45560902500 is a `hidden beast` number, since 4 + 5 + 5 + 60 + 90 + 2 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (45560902493) and next prime (45560902507).

It can be written as a sum of positive squares in 2 ways, for example, as 3571974756 + 41988927744 = 59766^2 + 204912^2 .

It is a super-2 number, since 2×455609025002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45560902507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32016789 + ... + 32018211.

Almost surely, 245560902500 is an apocalyptic number.

45560902500 is the 213450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45560902500

45560902500 is an abundant number, since it is smaller than the sum of its proper divisors (98454031563).

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

45560902500 is an equidigital number, since it uses as much as digits as its factorization.

45560902500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 45560902500 by its sum of digits (36), we get a square (1640192490000 = 12807002).

45560902500 divided by its sum of digits (36) gives a square (1265580625 = 355752).

The spelling of 45560902500 in words is "forty-five billion, five hundred sixty million, nine hundred two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1423 1500 1875 2250 2500 2846 3750 4269 4500 5625 5692 7115 7500 8538 11250 12807 14230 17076 21345 22500 25614 28460 35575 42690 51228 64035 71150 85380 106725 128070 142300 177875 213450 256140 320175 355750 426900 533625 640350 711500 889375 1067250 1280700 1600875 1778750 2024929 2134500 2668125 3201750 3557500 4049858 5336250 6074787 6403500 8004375 8099716 10124645 10672500 12149574 16008750 18224361 20249290 24299148 30373935 32017500 36448722 40498580 50623225 60747870 72897444 91121805 101246450 121495740 151869675 182243610 202492900 253116125 303739350 364487220 455609025 506232250 607478700 759348375 911218050 1012464500 1265580625 1518696750 1822436100 2278045125 2531161250 3037393500 3796741875 4556090250 5062322500 7593483750 9112180500 11390225625 15186967500 22780451250 45560902500