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4095488016 = 243253332
BaseRepresentation
bin1111010000011100…
…0011000000010000
3101120102101100101100
43310013003000100
531341421104031
61514220304400
7203330034204
oct36407030020
911512340340
104095488016
111811883844
129636a2100
135036455b9
142abcccb04
1518e837de6
hexf41c3010

4095488016 has 45 divisors (see below), whose sum is σ = 11463827869. Its totient is φ = 1364906688.

The previous prime is 4095488011. The next prime is 4095488017. The reversal of 4095488016 is 6108845904.

The square root of 4095488016 is 63996.

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., 4083210000 + 12278016 = 63900^2 + 3504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4095488011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 765286 + ... + 770618.

Almost surely, 24095488016 is an apocalyptic number.

4095488016 is the 63996-th square number.

It is an amenable number.

4095488016 is an abundant number, since it is smaller than the sum of its proper divisors (7368339853).

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

4095488016 is an frugal number, since it uses more digits than its factorization.

4095488016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10680 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The cubic root of 4095488016 is about 1599.9333326389.

The spelling of 4095488016 in words is "four billion, ninety-five million, four hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5333 10666 15999 21332 31998 42664 47997 63996 85328 95994 127992 191988 255984 383976 767952 28440889 56881778 85322667 113763556 170645334 227527112 255968001 341290668 455054224 511936002 682581336 1023872004 1365162672 2047744008 4095488016