Search a number
-
+
387934648336 = 2447233132
BaseRepresentation
bin1011010010100101011…
…01001111100000010000
31101002022211111000000101
411221102231033200100
522323442232221321
6454114213502144
740012245050434
oct5512255174020
91332284430011
10387934648336
1113a581aa5094
1263226641954
132a774aa49c1
1414ac1a129c4
15a157569791
hex5a52b4f810

387934648336 has 45 divisors (see below), whose sum is σ = 768187493661. Its totient is φ = 189783058176.

The previous prime is 387934648313. The next prime is 387934648363. The reversal of 387934648336 is 633846439783.

The square root of 387934648336 is 622844.

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., 358537488400 + 29397159936 = 598780^2 + 171456^2 .

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 8 ways as a sum of consecutive naturals, for example, 117093016 + ... + 117096328.

Almost surely, 2387934648336 is an apocalyptic number.

387934648336 is the 622844-th square number.

It is an amenable number.

387934648336 is a deficient number, since it is larger than the sum of its proper divisors (380252845325).

387934648336 is an frugal number, since it uses more digits than its factorization.

387934648336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 3362 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 64.

Multiplying 387934648336 by its sum of digits (64), we get a square (24827817493504 = 49827522).

The spelling of 387934648336 in words is "three hundred eighty-seven billion, nine hundred thirty-four million, six hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 47 94 188 376 752 2209 3313 4418 6626 8836 13252 17672 26504 35344 53008 155711 311422 622844 1245688 2491376 7318417 10975969 14636834 21951938 29273668 43903876 58547336 87807752 117094672 175615504 515870543 1031741086 2063482172 4126964344 8253928688 24245915521 48491831042 96983662084 193967324168 387934648336