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45125950000 = 24551947501
BaseRepresentation
bin101010000001101101…
…110101101000110000
311022110220102202222111
4222001231311220300
51214404220400000
632421445415104
73155156150305
oct520155655060
9138426382874
1045125950000
111815747115a
1288b470a494
13434203c381
1422812970ac
151291a1bcba
hexa81b75a30

45125950000 has 120 divisors (see below), whose sum is σ = 115036543440. Its totient is φ = 17100000000.

The previous prime is 45125949977. The next prime is 45125950013. The reversal of 45125950000 is 5952154.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926250 + ... + 973750.

It is an arithmetic number, because the mean of its divisors is an integer number (958637862).

Almost surely, 245125950000 is an apocalyptic number.

45125950000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45125950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57518271720).

45125950000 is an abundant number, since it is smaller than the sum of its proper divisors (69910593440).

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

45125950000 is an equidigital number, since it uses as much as digits as its factorization.

45125950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47553 (or 47527 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 45125950000 in words is "forty-five billion, one hundred twenty-five million, nine hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3125 3800 4750 5000 6250 7600 9500 10000 11875 12500 19000 23750 25000 38000 47500 47501 50000 59375 95000 95002 118750 190000 190004 237500 237505 380008 475000 475010 760016 902519 950000 950020 1187525 1805038 1900040 2375050 3610076 3800080 4512595 4750100 5937625 7220152 9025190 9500200 11875250 14440304 18050380 19000400 22562975 23750500 29688125 36100760 45125950 47501000 59376250 72201520 90251900 95002000 112814875 118752500 148440625 180503800 225629750 237505000 296881250 361007600 451259500 475010000 564074375 593762500 902519000 1128148750 1187525000 1805038000 2256297500 2375050000 2820371875 4512595000 5640743750 9025190000 11281487500 22562975000 45125950000