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7145258900 = 2252135496353
BaseRepresentation
bin1101010011110001…
…11111111110010100
3200102222001202112112
412221320333332110
5104113141241100
63141003410152
7342031461413
oct65170777624
920388052475
107145258900
11303734884a
121474b23958
1389b434b60
144bad6d47a
152bc45db35
hex1a9e3ff94

7145258900 has 36 divisors (see below), whose sum is σ = 16697923452. Its totient is φ = 2638248960.

The previous prime is 7145258849. The next prime is 7145258903. The reversal of 7145258900 is 98525417.

It can be written as a sum of positive squares in 6 ways, for example, as 3050794756 + 4094464144 = 55234^2 + 63988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145258903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2746877 + ... + 2749476.

It is an arithmetic number, because the mean of its divisors is an integer number (463831207).

Almost surely, 27145258900 is an apocalyptic number.

It is an amenable number.

7145258900 is an abundant number, since it is smaller than the sum of its proper divisors (9552664552).

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

7145258900 is a wasteful number, since it uses less digits than its factorization.

7145258900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496380 (or 5496373 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 7145258900 is about 84529.6332655004. The cubic root of 7145258900 is about 1926.0726152456.

The spelling of 7145258900 in words is "seven billion, one hundred forty-five million, two hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 5496353 10992706 21985412 27481765 54963530 71452589 109927060 137408825 142905178 274817650 285810356 357262945 549635300 714525890 1429051780 1786314725 3572629450 7145258900