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2012570000 = 2454728751
BaseRepresentation
bin111011111110101…
…0110000110010000
312012021000011000122
41313331112012100
513110204220000
6531412205412
7100605364010
oct16775260620
95167004018
102012570000
119430526a1
12482009868
13260c5892c
1415140bc40
15bba47085
hex77f56190

2012570000 has 100 divisors (see below), whose sum is σ = 5568917376. Its totient is φ = 690000000.

The previous prime is 2012569987. The next prime is 2012570017. The reversal of 2012570000 is 752102.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 55625 + ... + 84375.

Almost surely, 22012570000 is an apocalyptic number.

2012570000 is a gapful number since it is divisible by the number (20) 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 2012570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784458688).

2012570000 is an abundant number, since it is smaller than the sum of its proper divisors (3556347376).

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

2012570000 is an equidigital number, since it uses as much as digits as its factorization.

2012570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28786 (or 28765 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2012570000 is about 44861.6762950294. The cubic root of 2012570000 is about 1262.5550738972. Note that the first 3 decimals are identical.

The spelling of 2012570000 in words is "two billion, twelve million, five hundred seventy thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 28751 35000 57502 70000 115004 143755 201257 230008 287510 402514 460016 575020 718775 805028 1006285 1150040 1437550 1610056 2012570 2300080 2875100 3220112 3593875 4025140 5031425 5750200 7187750 8050280 10062850 11500400 14375500 16100560 17969375 20125700 25157125 28751000 35938750 40251400 50314250 57502000 71877500 80502800 100628500 125785625 143755000 201257000 251571250 287510000 402514000 503142500 1006285000 2012570000