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425641417744 = 2421127732
BaseRepresentation
bin1100011000110100011…
…01001001110000010000
31111200122200102100112111
412030122031021300100
523433203200331434
6523311552435104
742515535232654
oct6143215116020
91450580370474
10425641417744
11154571536034
126a5aa548a94
13311a3a1238a
141685b7d4a64
15b112a6a964
hex631a349c10

425641417744 has 45 divisors (see below), whose sum is σ = 829680531069. Its totient is φ = 211538066880.

The previous prime is 425641417723. The next prime is 425641417787. The reversal of 425641417744 is 447714146524.

The square root of 425641417744 is 652412.

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., 27086576400 + 398554841344 = 164580^2 + 631312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 550635342 + ... + 550636114.

Almost surely, 2425641417744 is an apocalyptic number.

425641417744 is the 652412-nd square number.

It is an amenable number.

425641417744 is a deficient number, since it is larger than the sum of its proper divisors (404039113325).

425641417744 is an frugal number, since it uses more digits than its factorization.

425641417744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 986 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 49.

Multiplying 425641417744 by its sum of digits (49), we get a square (20856429469456 = 45668842).

The spelling of 425641417744 in words is "four hundred twenty-five billion, six hundred forty-one million, four hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 211 422 773 844 1546 1688 3092 3376 6184 12368 44521 89042 163103 178084 326206 356168 597529 652412 712336 1195058 1304824 2390116 2609648 4780232 9560464 34414733 68829466 126078619 137658932 252157238 275317864 504314476 550635728 1008628952 2017257904 26602588609 53205177218 106410354436 212820708872 425641417744