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929900009929 = 1128009959561
BaseRepresentation
bin11011000100000100101…
…11000001100111001001
310021220020022220222000111
431202002113001213021
5110213413400304204
61551105024234321
7124116534445102
oct15420227014711
93256208828014
10929900009929
11329406349900
1213027976b9a1
13698c6212087
14330164433a9
15192c74a3d04
hexd8825c19c9

929900009929 has 12 divisors (see below), whose sum is σ = 1022250185460. Its totient is φ = 845257212800.

The previous prime is 929900009923. The next prime is 929900009933.

929900009929 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 435135483904 + 494764526025 = 659648^2 + 703395^2 .

It is a de Polignac number, because none of the positive numbers 2k-929900009929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (929900009923) 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 11 ways as a sum of consecutive naturals, for example, 489309 + ... + 1448869.

It is an arithmetic number, because the mean of its divisors is an integer number (85187515455).

Almost surely, 2929900009929 is an apocalyptic number.

It is an amenable number.

929900009929 is a deficient number, since it is larger than the sum of its proper divisors (92350175531).

929900009929 is a wasteful number, since it uses less digits than its factorization.

929900009929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967592 (or 967581 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 58.

It can be divided in two parts, 92990000 and 9929, that added together give a palindrome (92999929).

The spelling of 929900009929 in words is "nine hundred twenty-nine billion, nine hundred million, nine thousand, nine hundred twenty-nine".

Divisors: 1 11 121 8009 88099 959561 969089 10555171 116106881 7685124049 84536364539 929900009929