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6625254240 = 25325114371137
BaseRepresentation
bin1100010101110010…
…10101101101100000
3122002201120210020200
412022321111231200
5102032031113430
63013230105200
7323115506013
oct61271255540
918081523220
106625254240
11289a868630
12134a94b200
138177974a7
1446bc8b37a
1528b993460
hex18ae55b60

6625254240 has 576 divisors, whose sum is σ = 25779866112. Its totient is φ = 1535385600.

The previous prime is 6625254239. The next prime is 6625254287. The reversal of 6625254240 is 424525266.

6625254240 is a `hidden beast` number, since 6 + 62 + 52 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6625254195 and 6625254204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48359452 + ... + 48359588.

It is an arithmetic number, because the mean of its divisors is an integer number (44756712).

Almost surely, 26625254240 is an apocalyptic number.

6625254240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6625254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889933056).

6625254240 is an abundant number, since it is smaller than the sum of its proper divisors (19154611872).

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

6625254240 is a wasteful number, since it uses less digits than its factorization.

6625254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6625254240 is about 81395.6647494202. The cubic root of 6625254240 is about 1878.1669019124.

The spelling of 6625254240 in words is "six billion, six hundred twenty-five million, two hundred fifty-four thousand, two hundred forty".