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921433334129 = 72113412750093
BaseRepresentation
bin11010110100010011011…
…01001110000101110001
310021002101021101021021022
431122021231032011301
5110044043413143004
61543144534105225
7123366656053100
oct15321155160561
93232337337238
10921433334129
11325861105a80
1212a6b61ab215
1368b770b3c39
1432851bba037
1518e7e0242be
hexd689b4e171

921433334129 has 24 divisors (see below), whose sum is σ = 1169371893888. Its totient is φ = 717964628640.

The previous prime is 921433334123. The next prime is 921433334147.

921433334129 is nontrivially palindromic in base 10.

921433334129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 921433334129 - 24 = 921433334113 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 921433334129.

It is not an unprimeable number, because it can be changed into a prime (921433334123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18369407 + ... + 18419499.

It is an arithmetic number, because the mean of its divisors is an integer number (48723828912).

Almost surely, 2921433334129 is an apocalyptic number.

It is an amenable number.

921433334129 is a deficient number, since it is larger than the sum of its proper divisors (247938559759).

921433334129 is a wasteful number, since it uses less digits than its factorization.

921433334129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84245 (or 84238 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

The spelling of 921433334129 in words is "nine hundred twenty-one billion, four hundred thirty-three million, three hundred thirty-four thousand, one hundred twenty-nine".

Divisors: 1 7 11 49 77 539 34127 50093 238889 350651 375397 551023 1672223 2454557 2627779 3857161 18394453 27000127 1709523811 11966666677 18804761921 83766666739 131633333447 921433334129