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425510945344 = 2667212172
BaseRepresentation
bin1100011000100100110…
…11011100001001000000
31111200022120220200001101
412030102123130021000
523432421300222334
6523251012144144
742512362233652
oct6142233341100
91450276820041
10425510945344
11154504921201
126a572908054
133118298c884
14168483506d2
15b106397214
hex63126dc240

425510945344 has 63 divisors (see below), whose sum is σ = 857868870873. Its totient is φ = 209407807488.

The previous prime is 425510945329. The next prime is 425510945389. The reversal of 425510945344 is 443549015524.

The square root of 425510945344 is 652312.

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., 142793294400 + 282717650944 = 377880^2 + 531712^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 425510945294 and 425510945303.

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, 349638624 + ... + 349639840.

Almost surely, 2425510945344 is an apocalyptic number.

425510945344 is the 652312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425510945344

425510945344 is an abundant number, since it is smaller than the sum of its proper divisors (432357925529).

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

425510945344 is an frugal number, since it uses more digits than its factorization.

425510945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 425510945344 in words is "four hundred twenty-five billion, five hundred ten million, nine hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 536 1072 1217 2144 2434 4288 4489 4868 8978 9736 17956 19472 35912 38944 71824 77888 81539 143648 163078 287296 326156 652312 1304624 1481089 2609248 2962178 5218496 5463113 5924356 10926226 11848712 21852452 23697424 43704904 47394848 87409808 94789696 99232963 174819616 198465926 349639232 396931852 793863704 1587727408 3175454816 6350909632 6648608521 13297217042 26594434084 53188868168 106377736336 212755472672 425510945344