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8009123949 = 32889902661
BaseRepresentation
bin1110111010110000…
…11000100001101101
3202200011120122121100
413131120120201231
5112400313431244
63402423153313
7402321300411
oct73530304155
922604518540
108009123949
11343aa3a402
1216762a5839
139a83b8cc8
1455d9a0d41
1531d1edb69
hex1dd61886d

8009123949 has 6 divisors (see below), whose sum is σ = 11568734606. Its totient is φ = 5339415960.

The previous prime is 8009123897. The next prime is 8009123959. The reversal of 8009123949 is 9493219008.

8009123949 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6163820100 + 1845303849 = 78510^2 + 42957^2 .

It is not a de Polignac number, because 8009123949 - 228 = 7740688493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009123959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444951322 + ... + 444951339.

Almost surely, 28009123949 is an apocalyptic number.

It is an amenable number.

8009123949 is a deficient number, since it is larger than the sum of its proper divisors (3559610657).

8009123949 is a wasteful number, since it uses less digits than its factorization.

8009123949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889902667 (or 889902664 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 8009123949 is about 89493.7089911911. The cubic root of 8009123949 is about 2000.7600402162.

The spelling of 8009123949 in words is "eight billion, nine million, one hundred twenty-three thousand, nine hundred forty-nine".

Divisors: 1 3 9 889902661 2669707983 8009123949