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7073052672 = 211372953107
BaseRepresentation
bin1101001011001011…
…00011100000000000
3200020221012022012210
412211211203200000
5103441200141142
63125504022120
7340163645550
oct64545434000
920227168183
107073052672
112aaa610184
121454901940
138894a308a
144b1535160
152b5e4949c
hex1a5963800

7073052672 has 384 divisors, whose sum is σ = 22926758400. Its totient is φ = 1896480768.

The previous prime is 7073052653. The next prime is 7073052761. The reversal of 7073052672 is 2762503707.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7073052672.

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, 66103243 + ... + 66103349.

It is an arithmetic number, because the mean of its divisors is an integer number (59705100).

Almost surely, 27073052672 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 7073052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463379200).

7073052672 is an abundant number, since it is smaller than the sum of its proper divisors (15853705728).

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

7073052672 is a wasteful number, since it uses less digits than its factorization.

7073052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The square root of 7073052672 is about 84101.4427462454. The cubic root of 7073052672 is about 1919.5626781758.

The spelling of 7073052672 in words is "seven billion, seventy-three million, fifty-two thousand, six hundred seventy-two".