Search a number
-
+
629616215441 is a prime number
BaseRepresentation
bin10010010100110000000…
…11010000010110010001
32020012011000222200102102
421022120003100112101
540303423222343231
61201124112330145
763326322346313
oct11123003202621
92205130880372
10629616215441
11223022a37604
12a2035243955
13474ac66a945
142268b7497b3
151159ee37acb
hex92980d0591

629616215441 has 2 divisors, whose sum is σ = 629616215442. Its totient is φ = 629616215440.

The previous prime is 629616215429. The next prime is 629616215453. The reversal of 629616215441 is 144512616926.

It is a balanced prime because it is at equal distance from previous prime (629616215429) and next prime (629616215453).

It can be written as a sum of positive squares in only one way, i.e., 621883651216 + 7732564225 = 788596^2 + 87935^2 .

It is a cyclic number.

It is not a de Polignac number, because 629616215441 - 230 = 628542473617 is a prime.

It is a super-3 number, since 3×6296162154413 (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (629616215741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314808107720 + 314808107721.

It is an arithmetic number, because the mean of its divisors is an integer number (314808107721).

Almost surely, 2629616215441 is an apocalyptic number.

It is an amenable number.

629616215441 is a deficient number, since it is larger than the sum of its proper divisors (1).

629616215441 is an equidigital number, since it uses as much as digits as its factorization.

629616215441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 622080, while the sum is 47.

The spelling of 629616215441 in words is "six hundred twenty-nine billion, six hundred sixteen million, two hundred fifteen thousand, four hundred forty-one".