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10002428289 = 34732595413
BaseRepresentation
bin10010101000011000…
…01111000110000001
3221211002100000010000
421110030033012001
5130441110201124
64332310430213
7502604144340
oct112414170601
927732300100
1010002428289
114273123467
121b31962369
13c3535a829
146ac5d5b57
153d81dc6c9
hex25430f181

10002428289 has 40 divisors (see below), whose sum is σ = 17084851520. Its totient is φ = 5712863904.

The previous prime is 10002428279. The next prime is 10002428311. The reversal of 10002428289 is 98282420001.

It is not a de Polignac number, because 10002428289 - 29 = 10002427777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002428239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1845147 + ... + 1850559.

It is an arithmetic number, because the mean of its divisors is an integer number (427121288).

Almost surely, 210002428289 is an apocalyptic number.

It is an amenable number.

10002428289 is a deficient number, since it is larger than the sum of its proper divisors (7082423231).

10002428289 is an equidigital number, since it uses as much as digits as its factorization.

10002428289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10002428289 in words is "ten billion, two million, four hundred twenty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 567 3259 5413 9777 16239 22813 29331 37891 48717 68439 87993 113673 146151 205317 263979 341019 438453 615951 1023057 1847853 3069171 17640967 52922901 123486769 158768703 370460307 476306109 1111380921 1428918327 3334142763 10002428289