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2744149506 = 23765336893
BaseRepresentation
bin1010001110010000…
…0110011000000010
321002020121020102220
42203210012120002
521110000241011
61132144351510
7125000612610
oct24344063002
97066536386
102744149506
11118900115a
12647015596
133496a3c07
141c06466b0
15110da6506
hexa3906602

2744149506 has 16 divisors (see below), whose sum is σ = 6272341824. Its totient is φ = 784042704.

The previous prime is 2744149501. The next prime is 2744149519. The reversal of 2744149506 is 6059414472.

It is a super-2 number, since 2×27441495062 = 15060713022560088072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 65336893 = 2744149506 / (2 + 7 + 4 + 4 + 1 + 4 + 9 + 5 + 0 + 6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2744149501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32668405 + ... + 32668488.

It is an arithmetic number, because the mean of its divisors is an integer number (392021364).

Almost surely, 22744149506 is an apocalyptic number.

2744149506 is an abundant number, since it is smaller than the sum of its proper divisors (3528192318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2744149506 is a wasteful number, since it uses less digits than its factorization.

2744149506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65336905.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2744149506 is about 52384.6304367989. The cubic root of 2744149506 is about 1400.0254257287.

The spelling of 2744149506 in words is "two billion, seven hundred forty-four million, one hundred forty-nine thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 42 65336893 130673786 196010679 392021358 457358251 914716502 1372074753 2744149506