Search a number
-
+
49141366784 = 21473181227
BaseRepresentation
bin101101110001000011…
…011100000000000000
311200211202011002021122
4231301003130000000
51301120142214114
634324130011412
73356524503626
oct556103340000
9150752132248
1049141366784
1119928025224
129635416b68
134831bcb033
1425426a1516
1514292d9e8e
hexb710dc000

49141366784 has 120 divisors (see below), whose sum is σ = 100617757968. Its totient is φ = 23994040320.

The previous prime is 49141366777. The next prime is 49141366787. The reversal of 49141366784 is 48766314194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49141366787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216481679 + ... + 216481905.

Almost surely, 249141366784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49141366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50308878984).

49141366784 is an abundant number, since it is smaller than the sum of its proper divisors (51476391184).

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

49141366784 is an equidigital number, since it uses as much as digits as its factorization.

49141366784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 483 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The spelling of 49141366784 in words is "forty-nine billion, one hundred forty-one million, three hundred sixty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 181 227 256 292 362 454 512 584 724 908 1024 1168 1448 1816 2048 2336 2896 3632 4096 4672 5792 7264 8192 9344 11584 13213 14528 16384 16571 18688 23168 26426 29056 33142 37376 41087 46336 52852 58112 66284 74752 82174 92672 105704 116224 132568 149504 164348 185344 211408 232448 265136 299008 328696 370688 422816 464896 530272 598016 657392 741376 845632 929792 1060544 1196032 1314784 1482752 1691264 1859584 2121088 2629568 2965504 2999351 3382528 3719168 4242176 5259136 5998702 6765056 8484352 10518272 11997404 13530112 16968704 21036544 23994808 27060224 33937408 42073088 47989616 54120448 67874816 84146176 95979232 108240896 135749632 168292352 191958464 216481792 271499264 336584704 383916928 673169408 767833856 1535667712 3071335424 6142670848 12285341696 24570683392 49141366784