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7009257424 = 2413212132137
BaseRepresentation
bin1101000011100100…
…01100011111010000
3200002111011011120211
412201302030133100
5103323332214144
63115304413504
7335460463561
oct64162143720
920074134524
107009257424
112a775a7934
121437477294
138791c7800
144a6c8a168
152b0547034
hex1a1c8c7d0

7009257424 has 60 divisors (see below), whose sum is σ = 14724453036. Its totient is φ = 3230862336.

The previous prime is 7009257391. The next prime is 7009257427. The reversal of 7009257424 is 4247529007.

It can be written as a sum of positive squares in 6 ways, for example, as 4749966400 + 2259291024 = 68920^2 + 47532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7009257427) 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, 3278884 + ... + 3281020.

Almost surely, 27009257424 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 7009257424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7362226518).

7009257424 is an abundant number, since it is smaller than the sum of its proper divisors (7715195612).

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

7009257424 is a wasteful number, since it uses less digits than its factorization.

7009257424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 7009257424 is about 83721.3080643154. The cubic root of 7009257424 is about 1913.7740882105.

The spelling of 7009257424 in words is "seven billion, nine million, two hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1213 1352 2137 2426 2704 4274 4852 8548 9704 15769 17096 19408 27781 31538 34192 55562 63076 111124 126152 204997 222248 252304 361153 409994 444496 722306 819988 1444612 1639976 2592181 2889224 3279952 5184362 5778448 10368724 20737448 33698353 41474896 67396706 134793412 269586824 438078589 539173648 876157178 1752314356 3504628712 7009257424