Search a number
-
+
49122884947984 = 2417521932
BaseRepresentation
bin10110010101101010100000…
…00110111001000000010000
320102221002202022102222210121
423022311100012321000100
522414312132021313414
6252250424121440024
713230003611454421
oct1312652006710020
9212832668388717
1049122884947984
1114719997a16451
125614416940014
132154364242313
14c1b7bb721648
155a2beb7b8724
hex2cad501b9010

49122884947984 has 15 divisors (see below), whose sum is σ = 95175643904733. Its totient is φ = 24561428456448.

The previous prime is 49122884947931. The next prime is 49122884948041. The reversal of 49122884947984 is 48974948822194.

The square root of 49122884947984 is 7008772.

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., 46008817680400 + 3114067267584 = 6782980^2 + 1764672^2 .

It is a super-2 number, since 2×491228849479842 (a number of 28 digits) contains 22 as substring.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 27158992 + ... + 28911184.

Almost surely, 249122884947984 is an apocalyptic number.

49122884947984 is the 7008772-nd square number.

It is an amenable number.

49122884947984 is a deficient number, since it is larger than the sum of its proper divisors (46052758956749).

49122884947984 is an frugal number, since it uses more digits than its factorization.

49122884947984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504394 (or 1752195 counting only the distinct ones).

The product of its digits is 2675441664, while the sum is 79.

The spelling of 49122884947984 in words is "forty-nine trillion, one hundred twenty-two billion, eight hundred eighty-four million, nine hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 1752193 3504386 7008772 14017544 28035088 3070180309249 6140360618498 12280721236996 24561442473992 49122884947984