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4301916921 = 32218632
BaseRepresentation
bin1000000000110101…
…00000101011111001
3102002210211000121100
410000122200223321
532302242320141
61550513002013
7211414455561
oct40032405371
912083730540
104301916921
111908357945
12a00853309
13537340b93
142cb4a5da1
151a2a120b6
hex1006a0af9

4301916921 has 9 divisors (see below), whose sum is σ = 6214164229. Its totient is φ = 2867813436.

The previous prime is 4301916911. The next prime is 4301916943. The reversal of 4301916921 is 1296191034.

It is a happy number.

The square root of 4301916921 is 65589.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4301916921 - 25 = 4301916889 is a prime.

It is a super-2 number, since 2×43019169212 = 37012978390372240482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4301916911) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 185836 + ... + 207698.

Almost surely, 24301916921 is an apocalyptic number.

4301916921 is the 65589-th square number.

4301916921 is the 32795-th centered octagonal number.

It is an amenable number.

4301916921 is a deficient number, since it is larger than the sum of its proper divisors (1912247308).

4301916921 is an frugal number, since it uses more digits than its factorization.

4301916921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43732 (or 21866 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 4301916921 is about 1626.3749367986.

Multiplying 4301916921 by its sum of digits (36), we get a square (154869009156 = 3935342).

Multiplying 4301916921 by its product of nonzero digits (11664), we get a square (50177558966544 = 70836122).

The spelling of 4301916921 in words is "four billion, three hundred one million, nine hundred sixteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 21863 65589 196767 477990769 1433972307 4301916921