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916696729 = 1321721372
BaseRepresentation
bin110110101000111…
…010111010011001
32100212221000111201
4312220322322121
53334133243404
6230543554201
731500536134
oct6650727231
92325830451
10916696729
114304a6903
12216bbb961
13117bc1400
1489a6521b
1555728ca4
hex36a3ae99

916696729 has 27 divisors (see below), whose sum is σ = 1062214167. Its totient is φ = 790593024.

The previous prime is 916696727. The next prime is 916696733. The reversal of 916696729 is 927696619.

The square root of 916696729 is 30277.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 465049225 + 451647504 = 21565^2 + 21252^2 .

It is not a de Polignac number, because 916696729 - 21 = 916696727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 916696729.

It is not an unprimeable number, because it can be changed into a prime (916696721) 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 26 ways as a sum of consecutive naturals, for example, 6691149 + ... + 6691285.

Almost surely, 2916696729 is an apocalyptic number.

916696729 is the 30277-th square number.

916696729 is the 15139-th centered octagonal number.

It is an amenable number.

916696729 is a deficient number, since it is larger than the sum of its proper divisors (145517438).

916696729 is a wasteful number, since it uses less digits than its factorization.

916696729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 55.

The cubic root of 916696729 is about 971.4233996748.

The spelling of 916696729 in words is "nine hundred sixteen million, six hundred ninety-six thousand, seven hundred twenty-nine".

Divisors: 1 13 17 137 169 221 289 1781 2329 2873 3757 18769 23153 30277 39593 48841 243997 319073 393601 514709 3171961 4147949 5424241 6691217 53923337 70515133 916696729