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7009542144 = 21333114367
BaseRepresentation
bin1101000011100110…
…10010000000000000
3200002111200122011000
412201303102000000
5103323420322034
63115314452000
7335463060633
oct64163220000
920074618130
107009542144
112a77781840
121437594000
13879297297
144a6d21c1a
152b05a1599
hex1a1cd2000

7009542144 has 448 divisors, whose sum is σ = 23528609280. Its totient is φ = 2043740160.

The previous prime is 7009542139. The next prime is 7009542151. The reversal of 7009542144 is 4412459007.

It is a happy number.

7009542144 is a `hidden beast` number, since 70 + 0 + 9 + 542 + 1 + 44 = 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 = 7009542099 and 7009542108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104619999 + ... + 104620065.

Almost surely, 27009542144 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 7009542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764304640).

7009542144 is an abundant number, since it is smaller than the sum of its proper divisors (16519067136).

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

7009542144 is a wasteful number, since it uses less digits than its factorization.

7009542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7009542144 is about 83723.0084504851. The cubic root of 7009542144 is about 1913.8000007215.

The spelling of 7009542144 in words is "seven billion, nine million, five hundred forty-two thousand, one hundred forty-four".