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2420738721 = 32299274861
BaseRepresentation
bin1001000001001001…
…1000101010100001
320020201001021020200
42100102120222201
514424202114341
61040112455413
7113662640202
oct22022305241
96221037220
102420738721
111032497915
1257684a569
132c769a39b
1418d6db5a9
15e27c0db6
hex90498aa1

2420738721 has 12 divisors (see below), whose sum is σ = 3617196180. Its totient is φ = 1558176480.

The previous prime is 2420738711. The next prime is 2420738729. The reversal of 2420738721 is 1278370242.

It can be written as a sum of positive squares in 2 ways, for example, as 862068321 + 1558670400 = 29361^2 + 39480^2 .

It is not a de Polignac number, because 2420738721 - 215 = 2420705953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2420738729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4637170 + ... + 4637691.

It is an arithmetic number, because the mean of its divisors is an integer number (301433015).

Almost surely, 22420738721 is an apocalyptic number.

It is an amenable number.

2420738721 is a deficient number, since it is larger than the sum of its proper divisors (1196457459).

2420738721 is a wasteful number, since it uses less digits than its factorization.

2420738721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274896 (or 9274893 counting only the distinct ones).

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

The square root of 2420738721 is about 49201.0032519663. The cubic root of 2420738721 is about 1342.7112849527.

The spelling of 2420738721 in words is "two billion, four hundred twenty million, seven hundred thirty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 29 87 261 9274861 27824583 83473749 268970969 806912907 2420738721