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2509097472 = 293574367
BaseRepresentation
bin1001010110001101…
…1100101000000000
320110212022100200000
42111203130220000
520114312104342
61052550400000
7116114655660
oct22543345000
96425270600
102509097472
111078358082
125a0360000
1330ca9627b
1419b33c1a0
15ea42644c
hex958dca00

2509097472 has 480 divisors, whose sum is σ = 8913096192. Its totient is φ = 689762304.

The previous prime is 2509097447. The next prime is 2509097483. The reversal of 2509097472 is 2747909052.

2509097472 is a `hidden beast` number, since 2 + 5 + 0 + 90 + 97 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37449183 + ... + 37449249.

Almost surely, 22509097472 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 2509097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456548096).

2509097472 is an abundant number, since it is smaller than the sum of its proper divisors (6403998720).

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

2509097472 is an frugal number, since it uses more digits than its factorization.

2509097472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2509097472 is about 50090.8921062502. The cubic root of 2509097472 is about 1358.8531045997.

The spelling of 2509097472 in words is "two billion, five hundred nine million, ninety-seven thousand, four hundred seventy-two".