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7071250000 = 24575657
BaseRepresentation
bin1101001010111101…
…01011011001010000
3200020210210201102011
412211132223121100
5103440220000000
63125401232304
7340142430133
oct64536533120
920223721364
107071250000
112aa9599871
121454192694
13888cc16c9
144b11c621a
152b5be02ba
hex1a57ab650

7071250000 has 80 divisors (see below), whose sum is σ = 17128667088. Its totient is φ = 2828000000.

The previous prime is 7071249979. The next prime is 7071250001. The reversal of 7071250000 is 521707.

It can be written as a sum of positive squares in 8 ways, for example, as 3934801984 + 3136448016 = 62728^2 + 56004^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7071250001) 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 15 ways as a sum of consecutive naturals, for example, 1247172 + ... + 1252828.

Almost surely, 27071250000 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 7071250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564333544).

7071250000 is an abundant number, since it is smaller than the sum of its proper divisors (10057417088).

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

7071250000 is an frugal number, since it uses more digits than its factorization.

7071250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 7071250000 is about 84090.7248155229. The cubic root of 7071250000 is about 1919.3995880143.

Adding to 7071250000 its reverse (521707), we get a palindrome (7071771707).

The spelling of 7071250000 in words is "seven billion, seventy-one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 5657 6250 10000 11314 12500 15625 22628 25000 28285 31250 45256 50000 56570 62500 78125 90512 113140 125000 141425 156250 226280 250000 282850 312500 452560 565700 625000 707125 1131400 1250000 1414250 2262800 2828500 3535625 5657000 7071250 11314000 14142500 17678125 28285000 35356250 56570000 70712500 88390625 141425000 176781250 282850000 353562500 441953125 707125000 883906250 1414250000 1767812500 3535625000 7071250000