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6225304443136 = 2817291732
BaseRepresentation
bin101101010010111000100…
…0011110101100100000000
3211001010121011121010200021
41122211301003311210000
51303443410414140021
621123510531103224
71211522563452652
oct132456103654400
924033534533607
106225304443136
111a90156079279
12846609a41b14
13362074caa73c
141774408666d2
15abe03bb9c41
hex5a9710f5900

6225304443136 has 81 divisors (see below), whose sum is σ = 13201686339331. Its totient is φ = 2929235664896.

The previous prime is 6225304443131. The next prime is 6225304443151. The reversal of 6225304443136 is 6313444035226.

The square root of 6225304443136 is 2495056.

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

It can be written as a sum of positive squares in 4 ways, for example, as 643614689536 + 5581689753600 = 802256^2 + 2362560^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6225304443092 and 6225304443101.

It is not an unprimeable number, because it can be changed into a prime (6225304443131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 678650646 + ... + 678659818.

Almost surely, 26225304443136 is an apocalyptic number.

6225304443136 is the 2495056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6225304443136

6225304443136 is an abundant number, since it is smaller than the sum of its proper divisors (6976381896195).

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

6225304443136 is an frugal number, since it uses more digits than its factorization.

6225304443136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18396 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 43.

The spelling of 6225304443136 in words is "six trillion, two hundred twenty-five billion, three hundred four million, four hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 2176 2312 4352 4624 9173 9248 18346 18496 36692 36992 73384 73984 146768 155941 293536 311882 587072 623764 1174144 1247528 2348288 2495056 2650997 4990112 5301994 9980224 10603988 19960448 21207976 39920896 42415952 84143929 84831904 168287858 169663808 336575716 339327616 673151432 678655232 1346302864 1430446793 2692605728 2860893586 5385211456 5721787172 10770422912 11443574344 21540845824 22887148688 24317595481 45774297376 48635190962 91548594752 97270381924 183097189504 194540763848 366194379008 389081527696 778163055392 1556326110784 3112652221568 6225304443136