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8404111017 = 3611528273
BaseRepresentation
bin1111101001110110…
…01000111010101001
3210200200211002000000
413310323020322221
5114202423023032
63505533133213
7415155523251
oct76473107251
923620732000
108404111017
1136229a0aa5
12176662a209
13a3c193973
1459a21c961
15342c21e7c
hex1f4ec8ea9

8404111017 has 14 divisors (see below), whose sum is σ = 12600403482. Its totient is φ = 5602740192.

The previous prime is 8404110991. The next prime is 8404111127. The reversal of 8404111017 is 7101114048.

It can be written as a sum of positive squares in only one way, i.e., 8367858576 + 36252441 = 91476^2 + 6021^2 .

It is not a de Polignac number, because 8404111017 - 232 = 4109143721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8404113017) 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 13 ways as a sum of consecutive naturals, for example, 5763408 + ... + 5764865.

Almost surely, 28404111017 is an apocalyptic number.

It is an amenable number.

8404111017 is a deficient number, since it is larger than the sum of its proper divisors (4196292465).

8404111017 is an equidigital number, since it uses as much as digits as its factorization.

8404111017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528291 (or 11528276 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 8404111017 is about 91673.9385921648. The cubic root of 8404111017 is about 2033.1242803946.

The spelling of 8404111017 in words is "eight billion, four hundred four million, one hundred eleven thousand, seventeen".

Divisors: 1 3 9 27 81 243 729 11528273 34584819 103754457 311263371 933790113 2801370339 8404111017