Search a number
-
+
450378748704 = 25316328781873
BaseRepresentation
bin1101000110111001010…
…10100101001100100000
31121001111200001222011110
412203130222211030200
524334333424424304
6542522351343320
744352543125253
oct6433452451440
91531450058143
10450378748704
11164006075a05
1273352b21b40
13336169bb811
1417b26d2509a
15baae655289
hex68dcaa5320

450378748704 has 48 divisors (see below), whose sum is σ = 1189497288672. Its totient is φ = 149205224448.

The previous prime is 450378748693. The next prime is 450378748751. The reversal of 450378748704 is 407847873054.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 14375289 + ... + 14406584.

It is an arithmetic number, because the mean of its divisors is an integer number (24781193514).

Almost surely, 2450378748704 is an apocalyptic number.

It is an amenable number.

450378748704 is an abundant number, since it is smaller than the sum of its proper divisors (739118539968).

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

450378748704 is a wasteful number, since it uses less digits than its factorization.

450378748704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28782049 (or 28782041 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 57.

The spelling of 450378748704 in words is "four hundred fifty billion, three hundred seventy-eight million, seven hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648 28781873 57563746 86345619 115127492 172691238 230254984 345382476 460509968 690764952 921019936 1381529904 2763059808 4691445299 9382890598 14074335897 18765781196 28148671794 37531562392 56297343588 75063124784 112594687176 150126249568 225189374352 450378748704