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6064438161664 = 281539132
BaseRepresentation
bin101100000111111110010…
…1011101011000100000000
3210110202101010022022220101
41120033330223223010000
51243324432132133124
620521544152252144
71164066300564541
oct130177453530400
923422333268811
106064438161664
111a28a06274013
1281b3b40a1054
1334cb49421b3c
1416d73dc924c8
15a7b3b161644
hex583fcaeb100

6064438161664 has 27 divisors (see below), whose sum is σ = 12105265761813. Its totient is φ = 3032199379968.

The previous prime is 6064438161653. The next prime is 6064438161667. The reversal of 6064438161664 is 4661618344606.

The square root of 6064438161664 is 2462608.

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., 328374841600 + 5736063320064 = 573040^2 + 2395008^2 .

It is a super-4 number, since 4×60644381616644 (a number of 52 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6064438161667) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 39324772 + ... + 39478684.

Almost surely, 26064438161664 is an apocalyptic number.

6064438161664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6064438161664 is the 2462608-th square number.

It is an amenable number.

6064438161664 is a deficient number, since it is larger than the sum of its proper divisors (6040827600149).

6064438161664 is an frugal number, since it uses more digits than its factorization.

6064438161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307842 (or 153915 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 55.

The spelling of 6064438161664 in words is "six trillion, sixty-four billion, four hundred thirty-eight million, one hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 153913 307826 615652 1231304 2462608 4925216 9850432 19700864 39401728 23689211569 47378423138 94756846276 189513692552 379027385104 758054770208 1516109540416 3032219080832 6064438161664