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4351908961 = 41216092
BaseRepresentation
bin1000000110110010…
…01101110001100001
3102020021212212210101
410003121031301201
532403042041321
61555500302401
7212562421141
oct40331156141
912207785711
104351908961
1119335a2684
12a15541a01
135447c577a
142d3d9a921
151a70d9791
hex10364dc61

4351908961 has 9 divisors (see below), whose sum is σ = 4463415993. Its totient is φ = 4243126080.

The previous prime is 4351908937. The next prime is 4351909019. The reversal of 4351908961 is 1698091534.

The square root of 4351908961 is 65969.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22268961 + 4329640000 = 4719^2 + 65800^2 .

It is not a de Polignac number, because 4351908961 - 217 = 4351777889 is a prime.

It is a super-2 number, since 2×43519089612 = 37878223209664199042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4351906961) 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, 2703925 + ... + 2705533.

Almost surely, 24351908961 is an apocalyptic number.

4351908961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4351908961 is the 65969-th square number.

4351908961 is the 32985-th centered octagonal number.

It is an amenable number.

4351908961 is a deficient number, since it is larger than the sum of its proper divisors (111507032).

4351908961 is an frugal number, since it uses more digits than its factorization.

4351908961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The cubic root of 4351908961 is about 1632.6506561962.

The spelling of 4351908961 in words is "four billion, three hundred fifty-one million, nine hundred eight thousand, nine hundred sixty-one".

Divisors: 1 41 1609 1681 65969 2588881 2704729 106144121 4351908961