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4212918649 = 47213812
BaseRepresentation
bin1111101100011100…
…0000100101111001
3101212121100102221001
43323013000211321
532112001344044
61534013245001
7206254134442
oct37307004571
911777312831
104212918649
1118720a0155
12996a93761
13521a7cb94
142bd73a2c9
15199cd22d4
hexfb1c0979

4212918649 has 9 divisors (see below), whose sum is σ = 4307581551. Its totient is φ = 4120296360.

The previous prime is 4212918623. The next prime is 4212918667. The reversal of 4212918649 is 9468192124.

The square root of 4212918649 is 64907.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1914675049 + 2298243600 = 43757^2 + 47940^2 .

It is not a de Polignac number, because 4212918649 - 215 = 4212885881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4212918599 and 4212918608.

It is not an unprimeable number, because it can be changed into a prime (4212919649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3049939 + ... + 3051319.

Almost surely, 24212918649 is an apocalyptic number.

4212918649 is the 64907-th square number.

4212918649 is the 32454-th centered octagonal number.

It is an amenable number.

4212918649 is a deficient number, since it is larger than the sum of its proper divisors (94662902).

4212918649 is an frugal number, since it uses more digits than its factorization.

4212918649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 1428 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The cubic root of 4212918649 is about 1615.0811844666.

The spelling of 4212918649 in words is "four billion, two hundred twelve million, nine hundred eighteen thousand, six hundred forty-nine".

Divisors: 1 47 1381 2209 64907 1907161 3050629 89636567 4212918649