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10002406433 = 173732214937
BaseRepresentation
bin10010101000011000…
…01001110000100001
3221211002021220010112
421110030021300201
5130441104001213
64332310141105
7502604023535
oct112414116041
927732256115
1010002406433
114273108aa8
121b31951795
13c353508b6
146ac5cbbc5
153d81d5ea8
hex254309c21

10002406433 has 16 divisors (see below), whose sum is σ = 10882601424. Its totient is φ = 9154897920.

The previous prime is 10002406411. The next prime is 10002406459. The reversal of 10002406433 is 33460420001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2182010944 + 7820395489 = 46712^2 + 88433^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002406433 - 28 = 10002406177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002406399 and 10002406408.

It is not an unprimeable number, because it can be changed into a prime (10002406933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2023541 + ... + 2028477.

It is an arithmetic number, because the mean of its divisors is an integer number (680162589).

Almost surely, 210002406433 is an apocalyptic number.

It is an amenable number.

10002406433 is a deficient number, since it is larger than the sum of its proper divisors (880194991).

10002406433 is a wasteful number, since it uses less digits than its factorization.

10002406433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10002406433 its reverse (33460420001), we get a palindrome (43462826434).

The spelling of 10002406433 in words is "ten billion, two million, four hundred six thousand, four hundred thirty-three".

Divisors: 1 17 37 629 3221 4937 54757 83929 119177 182669 2026009 3105373 15902077 270335309 588376849 10002406433