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8920991401 = 7210321312
BaseRepresentation
bin10000100111011101…
…11000011010101001
3212000201102022120221
420103232320122221
5121232233211101
64033115450041
7434033114200
oct102356703251
925021368527
108920991401
113868737973
12188b756921
13ac22a924a
14608b2a237
153732c1aa1
hex213bb86a9

8920991401 has 27 divisors (see below), whose sum is σ = 10559814813. Its totient is φ = 7514521560.

The previous prime is 8920991389. The next prime is 8920991411. The reversal of 8920991401 is 1041990298.

It is a happy number.

The square root of 8920991401 is 94451.

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

8920991401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8920991401 - 211 = 8920989353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8920991411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68099106 + ... + 68099236.

Almost surely, 28920991401 is an apocalyptic number.

8920991401 is the 94451-st square number.

8920991401 is the 47226-th centered octagonal number.

It is an amenable number.

8920991401 is a deficient number, since it is larger than the sum of its proper divisors (1638823412).

8920991401 is an equidigital number, since it uses as much as digits as its factorization.

8920991401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The cubic root of 8920991401 is about 2073.9790904548.

Multiplying 8920991401 by its product of nonzero digits (46656), we get a square (416217774805056 = 204014162).

The spelling of 8920991401 in words is "eight billion, nine hundred twenty million, nine hundred ninety-one thousand, four hundred one".

Divisors: 1 7 49 103 131 721 917 5047 6419 10609 13493 17161 74263 94451 120127 519841 661157 840889 1389779 1767583 9728453 12373081 68099171 86611567 182061049 1274427343 8920991401