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7022695680 = 2833572111329
BaseRepresentation
bin1101000101001010…
…11101010100000000
3200010102102220102000
412202211131110000
5103340302230210
63120504424000
7336012633300
oct64245352400
920112386360
107022695680
112a84146230
12143ba78000
1387bc21340
144a8987600
152b17edac0
hex1a295d500

7022695680 has 1728 divisors, whose sum is σ = 35232019200. Its totient is φ = 1300561920.

The previous prime is 7022695627. The next prime is 7022695717. The reversal of 7022695680 is 865962207.

7022695680 is a `hidden beast` number, since 7 + 0 + 22 + 69 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×70226956802 = 98636509227781324800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161906 + ... + 242161934.

It is an arithmetic number, because the mean of its divisors is an integer number (20388900).

Almost surely, 27022695680 is an apocalyptic number.

7022695680 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 7022695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616009600).

7022695680 is an abundant number, since it is smaller than the sum of its proper divisors (28209323520).

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

7022695680 is a wasteful number, since it uses less digits than its factorization.

7022695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7022695680 is about 83801.5255231073. The cubic root of 7022695680 is about 1914.9963464585.

The spelling of 7022695680 in words is "seven billion, twenty-two million, six hundred ninety-five thousand, six hundred eighty".