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305630959921 = 72789772
BaseRepresentation
bin1000111001010010000…
…01100101100100110001
31002012212221120102121021
410130221001211210301
520001413011204141
6352223244055441
731036551203200
oct4345101454461
91065787512537
10305630959921
11108687788891
124b297234581
1322a89605c61
1410b14d29237
157e3bbeb6d1
hex4729065931

305630959921 has 9 divisors (see below), whose sum is σ = 355534393899. Its totient is φ = 261966077184.

The previous prime is 305630959901. The next prime is 305630959969. The reversal of 305630959921 is 129959036503.

The square root of 305630959921 is 552839.

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

It can be written as a sum of positive squares in only one way, i.e., 305383338225 + 247621696 = 552615^2 + 15736^2 .

It is not a de Polignac number, because 305630959921 - 237 = 168192006449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305630959901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3830385 + ... + 3909361.

Almost surely, 2305630959921 is an apocalyptic number.

305630959921 is the 552839-th square number.

305630959921 is the 276420-th centered octagonal number.

It is an amenable number.

305630959921 is a deficient number, since it is larger than the sum of its proper divisors (49903433978).

305630959921 is an frugal number, since it uses more digits than its factorization.

305630959921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157968 (or 78984 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 52.

The spelling of 305630959921 in words is "three hundred five billion, six hundred thirty million, nine hundred fifty-nine thousand, nine hundred twenty-one".

Divisors: 1 7 49 78977 552839 3869873 6237366529 43661565703 305630959921