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45822726450 = 23252100912
BaseRepresentation
bin101010101011001111…
…110101000100110010
311101021110112200120200
4222223033311010302
51222321104221300
633014540020030
73211346514444
oct525317650462
9141243480520
1045822726450
1118484809666
128a69b31616
1344234c0427
142309a32494
1512d2ca4200
hexaab3f5132

45822726450 has 54 divisors (see below), whose sum is σ = 123122592957. Its totient is φ = 12218182800.

The previous prime is 45822726401. The next prime is 45822726451. The reversal of 45822726450 is 5462722854.

45822726450 is a `hidden beast` number, since 4 + 582 + 2 + 7 + 2 + 64 + 5 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44906271921 + 916454529 = 211911^2 + 30273^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151365.

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

It is a junction number, because it is equal to n+sod(n) for n = 45822726396 and 45822726405.

It is not an unprimeable number, because it can be changed into a prime (45822726451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4535905 + ... + 4545995.

Almost surely, 245822726450 is an apocalyptic number.

45822726450 is an abundant number, since it is smaller than the sum of its proper divisors (77299866507).

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

45822726450 is an equidigital number, since it uses as much as digits as its factorization.

45822726450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 45822726450 in words is "forty-five billion, eight hundred twenty-two million, seven hundred twenty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 10091 20182 30273 50455 60546 90819 100910 151365 181638 252275 302730 454095 504550 756825 908190 1513650 2270475 4540950 101828281 203656562 305484843 509141405 610969686 916454529 1018282810 1527424215 1832909058 2545707025 3054848430 4582272645 5091414050 7637121075 9164545290 15274242150 22911363225 45822726450