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2164502405 = 51337900001
BaseRepresentation
bin1000000100000011…
…1010111110000101
312120211220010002202
42001000322332011
513413103034110
6554440444245
7104431652432
oct20100727605
95524803082
102164502405
11a1089476a
12504a79685
13286583270
1416767ab89
15ca0590a5
hex8103af85

2164502405 has 16 divisors (see below), whose sum is σ = 2872806384. Its totient is φ = 1555200000.

The previous prime is 2164502357. The next prime is 2164502419. The reversal of 2164502405 is 5042054612.

It can be written as a sum of positive squares in 8 ways, for example, as 33849124 + 2130653281 = 5818^2 + 46159^2 .

It is not a de Polignac number, because 2164502405 - 212 = 2164498309 is a prime.

It is a super-2 number, since 2×21645024052 = 9370141322501568050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447596 + ... + 452405.

It is an arithmetic number, because the mean of its divisors is an integer number (179550399).

Almost surely, 22164502405 is an apocalyptic number.

It is an amenable number.

2164502405 is a deficient number, since it is larger than the sum of its proper divisors (708303979).

2164502405 is a wasteful number, since it uses less digits than its factorization.

2164502405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900056.

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2164502405 is about 46524.2131045760. The cubic root of 2164502405 is about 1293.5583515662.

The spelling of 2164502405 in words is "two billion, one hundred sixty-four million, five hundred two thousand, four hundred five".

Divisors: 1 5 13 37 65 185 481 2405 900001 4500005 11700013 33300037 58500065 166500185 432900481 2164502405