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9982207921 = 7420392
BaseRepresentation
bin10010100101111110…
…00110011110110001
3221202200021200222111
421102333012132301
5130420421123141
64330305205321
7502240240000
oct112277063661
927680250874
109982207921
114262772614
121b27030841
13c310cb00a
146a9a50c37
153d6546381
hex252fc67b1

9982207921 has 15 divisors (see below), whose sum is σ = 11650930361. Its totient is φ = 8551981956.

The previous prime is 9982207919. The next prime is 9982207957. The reversal of 9982207921 is 1297022899.

The square root of 9982207921 is 99911.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 9982207921 - 21 = 9982207919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (9982207981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4894620 + ... + 4896658.

Almost surely, 29982207921 is an apocalyptic number.

9982207921 is the 99911-st square number.

9982207921 is the 49956-th centered octagonal number.

It is an amenable number.

9982207921 is a deficient number, since it is larger than the sum of its proper divisors (1668722440).

9982207921 is an frugal number, since it uses more digits than its factorization.

9982207921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The cubic root of 9982207921 is about 2153.1562024266.

Multiplying 9982207921 by its sum of digits (49), we get a square (489128188129 = 6993772).

9982207921 divided by its sum of digits (49) gives a square (203718529 = 142732).

The spelling of 9982207921 in words is "nine billion, nine hundred eighty-two million, two hundred seven thousand, nine hundred twenty-one".

Divisors: 1 7 49 343 2039 2401 14273 99911 699377 4157521 4895639 29102647 203718529 1426029703 9982207921