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10416104225 = 521759723677
BaseRepresentation
bin10011011001101100…
…10010001100100001
3222212220201220210222
421230312102030201
5132313010313400
64441325132425
7516056265542
oct115466221441
928786656728
1010416104225
11446568a2aa
1220283ba115
13c9cc79ba7
1470b51a4c9
1540e6a3185
hex26cd92321

10416104225 has 12 divisors (see below), whose sum is σ = 12917248764. Its totient is φ = 8332057920.

The previous prime is 10416104137. The next prime is 10416104297. The reversal of 10416104225 is 52240161401.

It can be written as a sum of positive squares in 6 ways, for example, as 2439470881 + 7976633344 = 49391^2 + 89312^2 .

It is not a de Polignac number, because 10416104225 - 220 = 10415055649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10416104194 and 10416104203.

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, 428087 + ... + 451763.

It is an arithmetic number, because the mean of its divisors is an integer number (1076437397).

Almost surely, 210416104225 is an apocalyptic number.

It is an amenable number.

10416104225 is a deficient number, since it is larger than the sum of its proper divisors (2501144539).

10416104225 is a wasteful number, since it uses less digits than its factorization.

10416104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41284 (or 41279 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10416104225 its reverse (52240161401), we get a palindrome (62656265626).

The spelling of 10416104225 in words is "ten billion, four hundred sixteen million, one hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 17597 23677 87985 118385 439925 591925 416644169 2083220845 10416104225