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10000450000000 = 2758200009
BaseRepresentation
bin1001000110000110100101…
…0001010001010010000000
31022102000220112222121210001
42101201221101101102000
52302321410200000000
633134050542045344
72051336321313535
oct221415121212200
938360815877701
1010000450000000
11320619234a749
1211561a2579854
13577066455205
1426804abcad8c
151252046d146a
hex91869451480

10000450000000 has 144 divisors (see below), whose sum is σ = 24903576116550. Its totient is φ = 4000160000000.

The previous prime is 10000449999979. The next prime is 10000450000001. The reversal of 10000450000000 is 5400001.

It can be written as a sum of positive squares in 9 ways, for example, as 8217028639296 + 1783421360704 = 2866536^2 + 1335448^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10000450000001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49899996 + ... + 50100004.

Almost surely, 210000450000000 is an apocalyptic number.

10000450000000 is a gapful number since it is divisible by the number (10) 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 10000450000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451788058275).

10000450000000 is an abundant number, since it is smaller than the sum of its proper divisors (14903126116550).

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

10000450000000 is an frugal number, since it uses more digits than its factorization.

10000450000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200063 (or 200016 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 10000450000000 its reverse (5400001), we get a palindrome (10000455400001).

The spelling of 10000450000000 in words is "ten trillion, four hundred fifty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 200009 250000 312500 390625 400000 400018 500000 625000 781250 800036 1000000 1000045 1250000 1562500 1600072 2000000 2000090 2500000 3125000 3200144 4000180 5000000 5000225 6250000 6400288 8000360 10000000 10000450 12500000 12800576 16000720 20000900 25000000 25001125 25601152 32001440 40001800 50000000 50002250 64002880 80003600 100004500 125005625 128005760 160007200 200009000 250011250 320014400 400018000 500022500 625028125 640028800 800036000 1000045000 1250056250 1600072000 2000090000 2500112500 3125140625 3200144000 4000180000 5000225000 6250281250 8000360000 10000450000 12500562500 15625703125 16000720000 20000900000 25001125000 31251406250 40001800000 50002250000 62502812500 78128515625 80003600000 100004500000 125005625000 156257031250 200009000000 250011250000 312514062500 400018000000 500022500000 625028125000 1000045000000 1250056250000 2000090000000 2500112500000 5000225000000 10000450000000