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34779900289 is a prime number
BaseRepresentation
bin100000011001000010…
…110010100110000001
310022202212111222220011
4200121002302212001
51032212123302124
623551101544521
72340610163131
oct403102624601
9108685458804
1034779900289
111382838a952
1268a7875141
13338374ca74
14197d1b4ac1
15d885a5994
hex8190b2981

34779900289 has 2 divisors, whose sum is σ = 34779900290. Its totient is φ = 34779900288.

The previous prime is 34779900257. The next prime is 34779900371. The reversal of 34779900289 is 98200997743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30737102400 + 4042797889 = 175320^2 + 63583^2 .

It is a cyclic number.

It is not a de Polignac number, because 34779900289 - 25 = 34779900257 is a prime.

It is a super-2 number, since 2×347799002892 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34779900989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17389950144 + 17389950145.

It is an arithmetic number, because the mean of its divisors is an integer number (17389950145).

Almost surely, 234779900289 is an apocalyptic number.

It is an amenable number.

34779900289 is a deficient number, since it is larger than the sum of its proper divisors (1).

34779900289 is an equidigital number, since it uses as much as digits as its factorization.

34779900289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6858432, while the sum is 58.

The spelling of 34779900289 in words is "thirty-four billion, seven hundred seventy-nine million, nine hundred thousand, two hundred eighty-nine".