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830269038481 = 23217322292
BaseRepresentation
bin11000001010011111110…
…01000001111110010001
32221101001212200012202221
430011033321001332101
5102100342333212411
61433230442541041
7113661561245431
oct14051771017621
92841055605687
10830269038481
112a012a255383
12114ab3507781
13603a8cbba2c
142c2844042c1
15168e5861071
hexc14fe41f91

830269038481 has 27 divisors (see below), whose sum is σ = 876811977489. Its totient is φ = 786131857632.

The previous prime is 830269038461. The next prime is 830269038497. The reversal of 830269038481 is 184830962038.

The square root of 830269038481 is 911191.

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

830269038481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 588189294225 + 242079744256 = 766935^2 + 492016^2 .

It is not a de Polignac number, because 830269038481 - 235 = 795909300113 is a prime.

It is a super-2 number, since 2×8302690384812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830269038461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3625628875 + ... + 3625629103.

Almost surely, 2830269038481 is an apocalyptic number.

830269038481 is the 911191-st square number.

830269038481 is the 455596-th centered octagonal number.

It is an amenable number.

830269038481 is a deficient number, since it is larger than the sum of its proper divisors (46542939008).

830269038481 is an frugal number, since it uses more digits than its factorization.

830269038481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 830269038481 in words is "eight hundred thirty billion, two hundred sixty-nine million, thirty-eight thousand, four hundred eighty-one".

Divisors: 1 23 173 229 529 3979 5267 29929 39617 52441 91517 121141 688367 911191 1206143 6853741 9072293 15832441 20957393 27741289 157636043 208662739 1569506689 3625628989 4799242997 36098653847 830269038481