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7009369920 = 263257597183
BaseRepresentation
bin1101000011100101…
…00111111101000000
3200002111100212220100
412201302213331000
5103323344314140
63115311042400
7335461442550
oct64162477500
920074325810
107009369920
112a77674403
121437510400
13879236a87
144a6cb9160
152b056a530
hex1a1ca7f40

7009369920 has 672 divisors, whose sum is σ = 28757514240. Its totient is φ = 1534095360.

The previous prime is 7009369907. The next prime is 7009369949. The reversal of 7009369920 is 299639007.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 84450199 + ... + 84450281.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 27009369920 is an apocalyptic number.

7009369920 is a gapful number since it is divisible by the number (70) 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 7009369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

7009369920 is an abundant number, since it is smaller than the sum of its proper divisors (21748144320).

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

7009369920 is a wasteful number, since it uses less digits than its factorization.

7009369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 7009369920 is about 83721.9799096987. The cubic root of 7009369920 is about 1913.7843266121.

The spelling of 7009369920 in words is "seven billion, nine million, three hundred sixty-nine thousand, nine hundred twenty".