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425265711376 = 24112148212
BaseRepresentation
bin1100011000000111100…
…11111100100100010000
31111122200111110111021211
412030003303330210100
523431421010231001
6523210412025504
742503323622062
oct6140363744420
91448614414254
10425265711376
11154399453300
126a504762294
1331143c2860c
1416823955732
15b0deaa5351
hex6303cfc910

425265711376 has 45 divisors (see below), whose sum is σ = 905727706149. Its totient is φ = 193289553600.

The previous prime is 425265711331. The next prime is 425265711383. The reversal of 425265711376 is 673117562524.

The square root of 425265711376 is 652124.

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., 186731151376 + 238534560000 = 432124^2 + 488400^2 .

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, 28686046 + ... + 28700866.

Almost surely, 2425265711376 is an apocalyptic number.

425265711376 is the 652124-th square number.

It is an amenable number.

425265711376 is an abundant number, since it is smaller than the sum of its proper divisors (480461994773).

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

425265711376 is an frugal number, since it uses more digits than its factorization.

425265711376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29672 (or 14834 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

Multiplying 425265711376 by its sum of digits (49), we get a square (20838019857424 = 45648682).

The spelling of 425265711376 in words is "four hundred twenty-five billion, two hundred sixty-five million, seven hundred eleven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 14821 29642 59284 118568 163031 237136 326062 652124 1304248 1793341 2608496 3586682 7173364 14346728 28693456 219662041 439324082 878648164 1757296328 2416282451 3514592656 4832564902 9665129804 19330259608 26579106961 38660519216 53158213922 106316427844 212632855688 425265711376