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10628306729 is a prime number
BaseRepresentation
bin10011110010111111…
…10001011100101001
31000102201000220220222
421321133301130221
5133231321303404
64514345255425
7524244054665
oct117137613451
930381026828
1010628306729
114564447177
122087494575
131004c173c1
1472b7978a5
1542311cdbe
hex2797f1729

10628306729 has 2 divisors, whose sum is σ = 10628306730. Its totient is φ = 10628306728.

The previous prime is 10628306699. The next prime is 10628306761. The reversal of 10628306729 is 92760382601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10596643600 + 31663129 = 102940^2 + 5627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10628306729 - 28 = 10628306473 is a prime.

It is a super-2 number, since 2×106283067292 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10628306729.

It is not a weakly prime, because it can be changed into another prime (10628306779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5314153364 + 5314153365.

It is an arithmetic number, because the mean of its divisors is an integer number (5314153365).

Almost surely, 210628306729 is an apocalyptic number.

It is an amenable number.

10628306729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10628306729 is an equidigital number, since it uses as much as digits as its factorization.

10628306729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10628306729 in words is "ten billion, six hundred twenty-eight million, three hundred six thousand, seven hundred twenty-nine".