Search a number
-
+
4001964493 is a prime number
BaseRepresentation
bin1110111010001001…
…0010000111001101
3101022220101212020011
43232202102013031
531144000330433
61501035553221
7201113064652
oct35642220715
911286355204
104001964493
11177400617a
129382bb811
134ba15b937
1429d705c29
151865123cd
hexee8921cd

4001964493 has 2 divisors, whose sum is σ = 4001964494. Its totient is φ = 4001964492.

The previous prime is 4001964479. The next prime is 4001964497. The reversal of 4001964493 is 3944691004.

4001964493 is digitally balanced in base 2 and base 3, because in such bases 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., 2952074889 + 1049889604 = 54333^2 + 32402^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001964493 - 229 = 3465093581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001964497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000982246 + 2000982247.

It is an arithmetic number, because the mean of its divisors is an integer number (2000982247).

Almost surely, 24001964493 is an apocalyptic number.

It is an amenable number.

4001964493 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001964493 is an equidigital number, since it uses as much as digits as its factorization.

4001964493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 4001964493 is about 63261.0819777847. The cubic root of 4001964493 is about 1587.6608792917.

The spelling of 4001964493 in words is "four billion, one million, nine hundred sixty-four thousand, four hundred ninety-three".