Search a number
-
+
2149346761 = 37101575153
BaseRepresentation
bin1000000000011100…
…0110110111001001
312112210101010110121
42000013012313021
513400213044021
6553135543241
7104156101042
oct20007066711
95483333417
102149346761
11a03283041
124bb98ab21
132833a7b23
141656538c9
15c8a63741
hex801c6dc9

2149346761 has 8 divisors (see below), whose sum is σ = 2229296904. Its totient is φ = 2070547200.

The previous prime is 2149346729. The next prime is 2149346783. The reversal of 2149346761 is 1676439412.

It can be written as a sum of positive squares in 4 ways, for example, as 1714374025 + 434972736 = 41405^2 + 20856^2 .

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 2149346761 - 25 = 2149346729 is a prime.

It is a super-2 number, since 2×21493467612 = 9239382998042382242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2149346791) 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 7 ways as a sum of consecutive naturals, for example, 283840 + ... + 291313.

It is an arithmetic number, because the mean of its divisors is an integer number (278662113).

Almost surely, 22149346761 is an apocalyptic number.

It is an amenable number.

2149346761 is a deficient number, since it is larger than the sum of its proper divisors (79950143).

2149346761 is a wasteful number, since it uses less digits than its factorization.

2149346761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575291.

The product of its digits is 217728, while the sum is 43.

The square root of 2149346761 is about 46361.0478850511. The cubic root of 2149346761 is about 1290.5321524985.

The spelling of 2149346761 in words is "two billion, one hundred forty-nine million, three hundred forty-six thousand, seven hundred sixty-one".

Divisors: 1 37 101 3737 575153 21280661 58090453 2149346761