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45125777300 = 22521998092803
BaseRepresentation
bin101010000001101101…
…001011011110010100
311022110220010000002012
4222001231023132110
51214404144333200
632421442003352
73155154530642
oct520155133624
9138426100065
1045125777300
111815736342a
1288b4646558
134341cab896
142281250192
1512919d5a35
hexa81b4b794

45125777300 has 72 divisors (see below), whose sum is σ = 98571816000. Its totient is φ = 17931006720.

The previous prime is 45125777299. The next prime is 45125777317. The reversal of 45125777300 is 377752154.

It is a super-3 number, since 3×451257773003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 16097699 + ... + 16100501.

It is an arithmetic number, because the mean of its divisors is an integer number (1369053000).

Almost surely, 245125777300 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 45125777300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49285908000).

45125777300 is an abundant number, since it is smaller than the sum of its proper divisors (53446038700).

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

45125777300 is a wasteful number, since it uses less digits than its factorization.

45125777300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 41.

The spelling of 45125777300 in words is "forty-five billion, one hundred twenty-five million, seven hundred seventy-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 809 995 1618 1990 2803 3236 3980 4045 4975 5606 8090 9950 11212 14015 16180 19900 20225 28030 40450 56060 70075 80900 140150 160991 280300 321982 557797 643964 804955 1115594 1609910 2231188 2267627 2788985 3219820 4024775 4535254 5577970 8049550 9070508 11155940 11338135 13944925 16099100 22676270 27889850 45352540 55779700 56690675 113381350 226762700 451257773 902515546 1805031092 2256288865 4512577730 9025155460 11281444325 22562888650 45125777300