Search a number
-
+
40806501669 = 3210144891641
BaseRepresentation
bin100110000000010000…
…011100110100100101
310220022212122001210200
4212000100130310211
51132032431023134
630425104541113
72643136353423
oct460020346445
9126285561720
1040806501669
111634022a74a
127aaa021799
133b041a089b
141d9174a113
1510dc6e5499
hex98041cd25

40806501669 has 12 divisors (see below), whose sum is σ = 59526317292. Its totient is φ = 26934984000.

The previous prime is 40806501661. The next prime is 40806501677. The reversal of 40806501669 is 96610560804.

40806501669 is a `hidden beast` number, since 4 + 0 + 80 + 6 + 501 + 6 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (40806501661) and next prime (40806501677).

It can be written as a sum of positive squares in 2 ways, for example, as 40070030625 + 736471044 = 200175^2 + 27138^2 .

It is not a de Polignac number, because 40806501669 - 23 = 40806501661 is a prime.

It is a super-2 number, since 2×408065016692 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40806501661) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22444912 + ... + 22446729.

It is an arithmetic number, because the mean of its divisors is an integer number (4960526441).

Almost surely, 240806501669 is an apocalyptic number.

It is an amenable number.

40806501669 is a deficient number, since it is larger than the sum of its proper divisors (18719815623).

40806501669 is a wasteful number, since it uses less digits than its factorization.

40806501669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44891748 (or 44891745 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 40806501669 in words is "forty billion, eight hundred six million, five hundred one thousand, six hundred sixty-nine".

Divisors: 1 3 9 101 303 909 44891641 134674923 404024769 4534055741 13602167223 40806501669