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29896830649 = 7217214532
BaseRepresentation
bin11011110101111111…
…010110111010111001
32212011120011100122001
4123311333112322321
5442212042040044
621422344501001
72105604603400
oct336577267271
985146140561
1029896830649
1111751a88404
12596447a761
132a85bb1b4a
141638870637
15b9ea4a2d4
hex6f5fd6eb9

29896830649 has 27 divisors (see below), whose sum is σ = 36969489837. Its totient is φ = 24101852544.

The previous prime is 29896830643. The next prime is 29896830659. The reversal of 29896830649 is 94603869892.

The square root of 29896830649 is 172907.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19018340649 + 10878490000 = 137907^2 + 104300^2 .

It is not a de Polignac number, because 29896830649 - 23 = 29896830641 is a prime.

It is a super-2 number, since 2×298968306492 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29896830641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20575207 + ... + 20576659.

Almost surely, 229896830649 is an apocalyptic number.

29896830649 is the 172907-th square number.

29896830649 is the 86454-th centered octagonal number.

It is an amenable number.

29896830649 is a deficient number, since it is larger than the sum of its proper divisors (7072659188).

29896830649 is an frugal number, since it uses more digits than its factorization.

29896830649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 64.

Multiplying 29896830649 by its sum of digits (64), we get a square (1913397161536 = 13832562).

The spelling of 29896830649 in words is "twenty-nine billion, eight hundred ninety-six million, eight hundred thirty thousand, six hundred forty-nine".

Divisors: 1 7 17 49 119 289 833 1453 2023 10171 14161 24701 71197 172907 419917 1210349 2111209 2939419 14778463 20575933 35890553 103449241 251233871 610139401 1758637097 4270975807 29896830649