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629258206345 = 5709177505841
BaseRepresentation
bin10010010100000101011…
…01100011110010001001
32020011020002022221021021
421022002231203302021
540302210100100340
61201024403112441
763314414334106
oct11120255436211
92204202287237
10629258206345
1122295994201a
12a1b55372721
134745343c142
1422655d95aad
151157d7bae4a
hex9282b63c89

629258206345 has 8 divisors (see below), whose sum is σ = 756174886920. Its totient is φ = 502696538880.

The previous prime is 629258206279. The next prime is 629258206349. The reversal of 629258206345 is 543602852926.

It can be written as a sum of positive squares in 4 ways, for example, as 20703756544 + 608554449801 = 143888^2 + 780099^2 .

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

It is not a de Polignac number, because 629258206345 - 29 = 629258205833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 629258206292 and 629258206301.

It is not an unprimeable number, because it can be changed into a prime (629258206349) 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, 88749376 + ... + 88756465.

It is an arithmetic number, because the mean of its divisors is an integer number (94521860865).

Almost surely, 2629258206345 is an apocalyptic number.

It is an amenable number.

629258206345 is a deficient number, since it is larger than the sum of its proper divisors (126916680575).

629258206345 is a wasteful number, since it uses less digits than its factorization.

629258206345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177506555.

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 629258206345 in words is "six hundred twenty-nine billion, two hundred fifty-eight million, two hundred six thousand, three hundred forty-five".

Divisors: 1 5 709 3545 177505841 887529205 125851641269 629258206345