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24640004642 = 21121011008101
BaseRepresentation
bin10110111100101010…
…001010001000100010
32100121012111221000112
4112330222022020202
5400430320122032
615153000451322
71531413404141
oct267452121042
970535457015
1024640004642
11a4a4705200
124937a79b42
132428a90906
14129a637758
159932b21b2
hex5bca8a222

24640004642 has 24 divisors (see below), whose sum is σ = 41027735196. Its totient is φ = 11089100000.

The previous prime is 24640004617. The next prime is 24640004671.

24640004642 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 24636127681 + 3876961 = 156959^2 + 1969^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24640004599 and 24640004608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479609 + ... + 528492.

Almost surely, 224640004642 is an apocalyptic number.

24640004642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24640004642 is a deficient number, since it is larger than the sum of its proper divisors (16387730554).

24640004642 is a wasteful number, since it uses less digits than its factorization.

24640004642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008226 (or 1008215 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2464000 and 4642, that added together give a palindrome (2468642).

The spelling of 24640004642 in words is "twenty-four billion, six hundred forty million, four thousand, six hundred forty-two".

Divisors: 1 2 11 22 101 121 202 242 1111 2222 12221 24442 1008101 2016202 11089111 22178222 101818201 121980221 203636402 243960442 1120000211 2240000422 12320002321 24640004642