Search a number
-
+
49287861456 = 2431782173571
BaseRepresentation
bin101101111001110010…
…010001010011010000
311201012221210210012020
4231321302101103100
51301420143031311
634350441531440
73363253624041
oct557162212320
9151187723166
1049287861456
11199a27928a9
1296764a3b80
134856370582
142557d168c8
1514370c5c06
hexb79c914d0

49287861456 has 80 divisors (see below), whose sum is σ = 134982842688. Its totient is φ = 15443814400.

The previous prime is 49287861437. The next prime is 49287861551. The reversal of 49287861456 is 65416878294.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49287861456.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 633151 + ... + 706721.

Almost surely, 249287861456 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 49287861456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67491421344).

49287861456 is an abundant number, since it is smaller than the sum of its proper divisors (85694981232).

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

49287861456 is a wasteful number, since it uses less digits than its factorization.

49287861456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74420 (or 74414 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 49287861456 in words is "forty-nine billion, two hundred eighty-seven million, eight hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 821 1642 2463 3284 4926 6568 9852 13136 13957 19704 27914 39408 41871 55828 73571 83742 111656 147142 167484 220713 223312 294284 334968 441426 588568 669936 882852 1177136 1250707 1765704 2501414 3531408 3752121 5002828 7504242 10005656 15008484 20011312 30016968 60033936 60401791 120803582 181205373 241607164 362410746 483214328 724821492 966428656 1026830447 1449642984 2053660894 2899285968 3080491341 4107321788 6160982682 8214643576 12321965364 16429287152 24643930728 49287861456