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419160425476 = 221323726732
BaseRepresentation
bin1100001100101111110…
…10001000010000000100
31111001221000021211111211
412012113322020100010
523331420032103401
6520320514341204
742166120554532
oct6062772102004
91431830254454
10419160425476
11151846150681
126929bb8a804
13306b00b8100
1416404b7b152
15ad83ac1951
hex6197e88404

419160425476 has 81 divisors (see below), whose sum is σ = 817559078301. Its totient is φ = 187950357504.

The previous prime is 419160425473. The next prime is 419160425507. The reversal of 419160425476 is 674524061914.

The square root of 419160425476 is 647426.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 256086602500 + 163073822976 = 506050^2 + 403824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419160425473) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 622823476 + ... + 622824148.

Almost surely, 2419160425476 is an apocalyptic number.

419160425476 is the 647426-th square number.

It is an amenable number.

419160425476 is a deficient number, since it is larger than the sum of its proper divisors (398398652825).

419160425476 is an equidigital number, since it uses as much as digits as its factorization.

419160425476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 419160425476 by its sum of digits (49), we get a square (20538860848324 = 45319822).

The spelling of 419160425476 in words is "four hundred nineteen billion, one hundred sixty million, four hundred twenty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 13 26 37 52 74 148 169 338 481 673 676 962 1346 1369 1924 2692 2738 5476 6253 8749 12506 17498 17797 24901 25012 34996 35594 49802 71188 99604 113737 227474 231361 323713 452929 454948 462722 647426 905858 921337 925444 1294852 1811716 1842674 3685348 4208269 5888077 8416538 11776154 11977381 16758373 16833076 23552308 23954762 33516746 47909524 67033492 76545001 153090002 155705953 217858849 306180004 311411906 435717698 620059801 622823812 871435396 1240119602 2480239204 2832165037 5664330074 8060777413 11328660148 16121554826 32243109652 104790106369 209580212738 419160425476