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45611134324 = 227428116901
BaseRepresentation
bin101010011110101000…
…101010110101110100
311100201201101200202021
4222132220222311310
51221402422244244
632541540522524
73203200150000
oct523650526564
9140651350667
1045611134324
1118386329338
128a0b0b0444
1343bb7079a2
1422c98b3700
1512be40a284
hexa9ea2ad74

45611134324 has 60 divisors (see below), whose sum is σ = 93454098948. Its totient is φ = 19476912000.

The previous prime is 45611134319. The next prime is 45611134343. The reversal of 45611134324 is 42343111654.

It can be written as a sum of positive squares in 2 ways, for example, as 41351222500 + 4259911824 = 203350^2 + 65268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45611134324.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2690274 + ... + 2707174.

Almost surely, 245611134324 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 45611134324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46727049474).

45611134324 is an abundant number, since it is smaller than the sum of its proper divisors (47842964624).

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

45611134324 is a wasteful number, since it uses less digits than its factorization.

45611134324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17214 (or 17191 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

Adding to 45611134324 its reverse (42343111654), we get a palindrome (87954245978).

The spelling of 45611134324 in words is "forty-five billion, six hundred eleven million, one hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 281 343 562 686 1124 1372 1967 2401 3934 4802 7868 9604 13769 16901 27538 33802 55076 67604 96383 118307 192766 236614 385532 473228 674681 828149 1349362 1656298 2698724 3312596 4749181 5797043 9498362 11594086 18996724 23188172 33244267 40579301 66488534 81158602 132977068 162317204 232709869 465419738 930839476 1628969083 3257938166 6515876332 11402783581 22805567162 45611134324