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10434923648 = 2790292
BaseRepresentation
bin10011011011111100…
…00100110010000000
3222221020011001012122
421231332010302000
5132332320024043
64443240343412
7516405246632
oct115576046200
928836131178
1010434923648
114475273646
122032774b68
13ca3b38b46
1470dc18a52
1541116e368
hex26df84c80

10434923648 has 24 divisors (see below), whose sum is σ = 20790627105. Its totient is φ = 5216883968.

The previous prime is 10434923647. The next prime is 10434923669. The reversal of 10434923648 is 84632943401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5656243264 + 4778680384 = 75208^2 + 69128^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=72232.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10434923599 and 10434923608.

It is not an unprimeable number, because it can be changed into a prime (10434923647) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1151198 + ... + 1160226.

Almost surely, 210434923648 is an apocalyptic number.

It is an amenable number.

10434923648 is a deficient number, since it is larger than the sum of its proper divisors (10355703457).

10434923648 is an frugal number, since it uses more digits than its factorization.

10434923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18072 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 10434923648 in words is "ten billion, four hundred thirty-four million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 9029 18058 36116 72232 144464 288928 577856 1155712 81522841 163045682 326091364 652182728 1304365456 2608730912 5217461824 10434923648