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45504034300 = 225217173154723
BaseRepresentation
bin101010011000010000…
…000111010111111100
311100110020212110010201
4222120100013113330
51221143013044200
632523153213244
73200426624014
oct523020072774
9140406773121
1045504034300
111833092851a
12899b261224
1343a24795aa
1422b9594c44
1512b4d01c6a
hexa984075fc

45504034300 has 72 divisors (see below), whose sum is σ = 105157238256. Its totient is φ = 17031797760.

The previous prime is 45504034159. The next prime is 45504034307. The reversal of 45504034300 is 343040554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45504034307) 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 23 ways as a sum of consecutive naturals, for example, 216739 + ... + 371461.

It is an arithmetic number, because the mean of its divisors is an integer number (1460517198).

Almost surely, 245504034300 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 45504034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52578619128).

45504034300 is an abundant number, since it is smaller than the sum of its proper divisors (59653203956).

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

45504034300 is a wasteful number, since it uses less digits than its factorization.

45504034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154927 (or 154920 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 45504034300 its reverse (343040554), we get a palindrome (45847074854).

The spelling of 45504034300 in words is "forty-five billion, five hundred four million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 173 340 346 425 692 850 865 1700 1730 2941 3460 4325 5882 8650 11764 14705 17300 29410 58820 73525 147050 154723 294100 309446 618892 773615 1547230 2630291 3094460 3868075 5260582 7736150 10521164 13151455 15472300 26302910 26767079 52605820 53534158 65757275 107068316 131514550 133835395 263029100 267670790 455040343 535341580 669176975 910080686 1338353950 1820161372 2275201715 2676707900 4550403430 9100806860 11376008575 22752017150 45504034300