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8442130761 = 323972362757
BaseRepresentation
bin1111101110011000…
…01011000101001001
3210210100100200021200
413313030023011021
5114242141141021
63513412054413
7416126633061
oct76714130511
923710320250
108442130761
1136423a9879
121777304409
13a4701605c
145a12b83a1
15346232126
hex1f730b149

8442130761 has 12 divisors (see below), whose sum is σ = 12224909892. Its totient is φ = 5613908256.

The previous prime is 8442130757. The next prime is 8442130813. The reversal of 8442130761 is 1670312448.

It can be written as a sum of positive squares in 2 ways, for example, as 5748520761 + 2693610000 = 75819^2 + 51900^2 .

It is not a de Polignac number, because 8442130761 - 22 = 8442130757 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8442130561) 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 11 ways as a sum of consecutive naturals, for example, 1177806 + ... + 1184951.

It is an arithmetic number, because the mean of its divisors is an integer number (1018742491).

Almost surely, 28442130761 is an apocalyptic number.

It is an amenable number.

8442130761 is a deficient number, since it is larger than the sum of its proper divisors (3782779131).

8442130761 is a wasteful number, since it uses less digits than its factorization.

8442130761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363160 (or 2363157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8442130761 is about 91881.0685669251. The cubic root of 8442130761 is about 2036.1855834201.

The spelling of 8442130761 in words is "eight billion, four hundred forty-two million, one hundred thirty thousand, seven hundred sixty-one".

Divisors: 1 3 9 397 1191 3573 2362757 7088271 21264813 938014529 2814043587 8442130761