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245025000000 = 263458112
BaseRepresentation
bin1110010000110010100…
…0001100101001000000
3212102110012202200010000
43210030220030221000
513003302400000000
6304321332040000
723462643064404
oct3441450145100
9772405680100
10245025000000
1194a07252100
123b5a2463000
131a14b474501
14bc05bbb104
1565911a0000
hex390ca0ca40

245025000000 has 945 divisors, whose sum is σ = 997954078891. Its totient is φ = 59400000000.

The previous prime is 245024999909. The next prime is 245025000001. The reversal of 245025000000 is 520542.

The square root of 245025000000 is 495000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 174209403456 + 70815596544 = 417384^2 + 266112^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (245025000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22274999995 + ... + 22275000005.

Almost surely, 2245025000000 is an apocalyptic number.

245025000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245025000000 is the 495000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245025000000

245025000000 is an abundant number, since it is smaller than the sum of its proper divisors (752929078891).

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

245025000000 is an frugal number, since it uses more digits than its factorization.

245025000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

Multiplying 245025000000 by its product of nonzero digits (400), we get a square (98010000000000 = 99000002).

245025000000 divided by its product of nonzero digits (400) gives a square (612562500 = 247502).

Adding to 245025000000 its reverse (520542), we get a palindrome (245025520542).

The spelling of 245025000000 in words is "two hundred forty-five billion, twenty-five million", and thus it is an aban number.