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3681790081 is a prime number
BaseRepresentation
bin1101101101110011…
…1010100010000001
3100111120221022111121
43123130322202001
530020014240311
61405201312241
7160144461604
oct33334724201
910446838447
103681790081
11161a302422
12869035681
13468a19218
1426cda033b
1516836ab71
hexdb73a881

3681790081 has 2 divisors, whose sum is σ = 3681790082. Its totient is φ = 3681790080.

The previous prime is 3681790031. The next prime is 3681790087. The reversal of 3681790081 is 1800971863.

3681790081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1850720400 + 1831069681 = 43020^2 + 42791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3681790081 is a prime.

It is a super-2 number, since 2×36817900812 = 27111156401099973122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3681790087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1840895040 + 1840895041.

It is an arithmetic number, because the mean of its divisors is an integer number (1840895041).

Almost surely, 23681790081 is an apocalyptic number.

It is an amenable number.

3681790081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681790081 is an equidigital number, since it uses as much as digits as its factorization.

3681790081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 3681790081 is about 60677.7560643108. The cubic root of 3681790081 is about 1544.1388191259.

The spelling of 3681790081 in words is "three billion, six hundred eighty-one million, seven hundred ninety thousand, eighty-one".