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816090004129 = 91929832
BaseRepresentation
bin10111110000000101100…
…00010011101010100001
32220000110201022122020111
423320002300103222201
5101332323020113004
61422523453011321
7112650320403031
oct13700260235241
92800421278214
10816090004129
11295113593a74
121121b6a83b41
135bc5958668a
142b6db2458c1
1516365b65a04
hexbe02c13aa1

816090004129 has 9 divisors (see below), whose sum is σ = 817810943313. Its totient is φ = 814372684452.

The previous prime is 816090004111. The next prime is 816090004133. The reversal of 816090004129 is 921400090618.

The square root of 816090004129 is 903377.

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

It is not a de Polignac number, because 816090004129 - 25 = 816090004097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816090004091 and 816090004100.

It is not an unprimeable number, because it can be changed into a prime (816090004529) 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 8 ways as a sum of consecutive naturals, for example, 830202972 + ... + 830203954.

Almost surely, 2816090004129 is an apocalyptic number.

816090004129 is the 903377-th square number.

816090004129 is the 451689-th centered octagonal number.

It is an amenable number.

816090004129 is a deficient number, since it is larger than the sum of its proper divisors (1720939184).

816090004129 is an frugal number, since it uses more digits than its factorization.

816090004129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 816090004129 in words is "eight hundred sixteen billion, ninety million, four thousand, one hundred twenty-nine".

Divisors: 1 919 983 844561 903377 966289 830203463 888019591 816090004129