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6434420731456 = 263170772
BaseRepresentation
bin101110110100010000101…
…0111001010111001000000
3211210010100211210020202211
41131220201113022321000
51320410143201401311
621403533154551504
71232604641543014
oct135504127127100
924703324706684
106434420731456
112060905837853
1287b04a598594
133789bcba4553
141835db590544
15b259263b821
hex5da215cae40

6434420731456 has 21 divisors (see below), whose sum is σ = 12768343907889. Its totient is φ = 3217200219264.

The previous prime is 6434420731423. The next prime is 6434420731517. The reversal of 6434420731456 is 6541370244346.

The square root of 6434420731456 is 2536616.

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., 3572856040000 + 2861564691456 = 1890200^2 + 1691616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20134390 + ... + 20451466.

Almost surely, 26434420731456 is an apocalyptic number.

6434420731456 is the 2536616-th square number.

It is an amenable number.

6434420731456 is a deficient number, since it is larger than the sum of its proper divisors (6333923176433).

6434420731456 is an frugal number, since it uses more digits than its factorization.

6434420731456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634166 (or 317079 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 49.

Multiplying 6434420731456 by its sum of digits (49), we get a square (315286615841344 = 177563122).

The spelling of 6434420731456 in words is "six trillion, four hundred thirty-four billion, four hundred twenty million, seven hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 317077 634154 1268308 2536616 5073232 10146464 20292928 100537823929 201075647858 402151295716 804302591432 1608605182864 3217210365728 6434420731456