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464945333161 = 193235332
BaseRepresentation
bin1101100010000001110…
…01101100001110101001
31122110002211200010111111
412301000321230032221
530104202001130121
6553332024030321
745406531060441
oct6610071541651
91573084603444
10464945333161
1116a200579461
12761393023a1
1334ac87c676a
1418709767121
15c1633a52e1
hex6c40e6c3a9

464945333161 has 9 divisors (see below), whose sum is σ = 467499181989. Its totient is φ = 462405371136.

The previous prime is 464945333147. The next prime is 464945333231. The reversal of 464945333161 is 161333549464.

The square root of 464945333161 is 681869.

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 2518132761 + 462427200400 = 50181^2 + 680020^2 .

It is not a de Polignac number, because 464945333161 - 237 = 327506379689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464945333761) 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, 131598951 + ... + 131602483.

Almost surely, 2464945333161 is an apocalyptic number.

464945333161 is the 681869-th square number.

464945333161 is the 340935-th centered octagonal number.

It is an amenable number.

464945333161 is a deficient number, since it is larger than the sum of its proper divisors (2553848828).

464945333161 is an frugal number, since it uses more digits than its factorization.

464945333161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7452 (or 3726 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 49.

Multiplying 464945333161 by its sum of digits (49), we get a square (22782321324889 = 47730832).

The spelling of 464945333161 in words is "four hundred sixty-four billion, nine hundred forty-five million, three hundred thirty-three thousand, one hundred sixty-one".

Divisors: 1 193 3533 37249 681869 12482089 131600717 2409043177 464945333161