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34445454577 = 233771719157
BaseRepresentation
bin100000000101000110…
…111110110011110001
310021220120012101121221
4200011012332303301
51031021014021302
623453553345041
72326406350552
oct400506766361
9107816171557
1034445454577
1113676619936
126813868181
13332c3815b1
14194a9d6329
15d69040937
hex8051becf1

34445454577 has 8 divisors (see below), whose sum is σ = 34599577896. Its totient is φ = 34291385472.

The previous prime is 34445454523. The next prime is 34445454581. The reversal of 34445454577 is 77545454443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 202322176 + 34243132401 = 14224^2 + 185049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34445454577 - 223 = 34437065969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34445454677) 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 7 ways as a sum of consecutive naturals, for example, 1788483 + ... + 1807639.

It is an arithmetic number, because the mean of its divisors is an integer number (4324947237).

Almost surely, 234445454577 is an apocalyptic number.

It is an amenable number.

34445454577 is a deficient number, since it is larger than the sum of its proper divisors (154123319).

34445454577 is a wasteful number, since it uses less digits than its factorization.

34445454577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27107.

The product of its digits is 18816000, while the sum is 52.

The spelling of 34445454577 in words is "thirty-four billion, four hundred forty-five million, four hundred fifty-four thousand, five hundred seventy-seven".

Divisors: 1 233 7717 19157 1798061 4463581 147834569 34445454577