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10432970249 = 134119574053
BaseRepresentation
bin10011011011101101…
…00111111000001001
3222221002110210122112
421231312213320021
5132331320021444
64443130432105
7516352532612
oct115566477011
928832423575
1010432970249
114474159a69
122031b92635
13ca36039a0
1470d86ac09
15410dd569e
hex26dda7e09

10432970249 has 8 divisors (see below), whose sum is σ = 11509543752. Its totient is φ = 9395544960.

The previous prime is 10432970231. The next prime is 10432970257. The reversal of 10432970249 is 94207923401.

It can be written as a sum of positive squares in 4 ways, for example, as 1628526025 + 8804444224 = 40355^2 + 93832^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10432970249 - 224 = 10416193033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10432970279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9786494 + ... + 9787559.

It is an arithmetic number, because the mean of its divisors is an integer number (1438692969).

Almost surely, 210432970249 is an apocalyptic number.

It is an amenable number.

10432970249 is a deficient number, since it is larger than the sum of its proper divisors (1076573503).

10432970249 is a wasteful number, since it uses less digits than its factorization.

10432970249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19574107.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 10432970249 in words is "ten billion, four hundred thirty-two million, nine hundred seventy thousand, two hundred forty-nine".

Divisors: 1 13 41 533 19574053 254462689 802536173 10432970249