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2377440081 = 32162532
BaseRepresentation
bin1000110110110100…
…1101101101010001
320010200120110200100
42031231031231101
514332111040311
61031524443013
7112625623122
oct21555155521
96120513610
102377440081
111010003a15
12564249469
132bb71a2a3
14187a6a049
15ddabba56
hex8db4db51

2377440081 has 9 divisors (see below), whose sum is σ = 3434291419. Its totient is φ = 1584862536.

The previous prime is 2377440071. The next prime is 2377440083. The reversal of 2377440081 is 1800447732.

It is a happy number.

The square root of 2377440081 is 48759.

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., 1643897025 + 733543056 = 40545^2 + 27084^2 .

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

It is not a de Polignac number, because 2377440081 - 221 = 2375342929 is a prime.

It is a super-2 number, since 2×23774400812 = 11304442677490573122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2377440083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 138151 + ... + 154403.

Almost surely, 22377440081 is an apocalyptic number.

2377440081 is the 48759-th square number.

2377440081 is the 24380-th centered octagonal number.

It is an amenable number.

2377440081 is a deficient number, since it is larger than the sum of its proper divisors (1056851338).

2377440081 is an frugal number, since it uses more digits than its factorization.

2377440081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32512 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The cubic root of 2377440081 is about 1334.6575884023.

Multiplying 2377440081 by its sum of digits (36), we get a square (85587842916 = 2925542).

The spelling of 2377440081 in words is "two billion, three hundred seventy-seven million, four hundred forty thousand, eighty-one".

Divisors: 1 3 9 16253 48759 146277 264160009 792480027 2377440081