Search a number
-
+
7023876401 is a prime number
BaseRepresentation
bin1101000101010011…
…11101100100110001
3200010111122220001102
412202221331210301
5103341103021101
63120550014145
7336025651523
oct64251754461
920114586042
107023876401
112a84882333
121440347355
1387c2458a9
144a8bb3a13
152b198386b
hex1a2a7d931

7023876401 has 2 divisors, whose sum is σ = 7023876402. Its totient is φ = 7023876400.

The previous prime is 7023876361. The next prime is 7023876403. The reversal of 7023876401 is 1046783207.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4791408400 + 2232468001 = 69220^2 + 47249^2 .

It is a cyclic number.

It is not a de Polignac number, because 7023876401 - 230 = 5950134577 is a prime.

Together with 7023876403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7023876403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3511938200 + 3511938201.

It is an arithmetic number, because the mean of its divisors is an integer number (3511938201).

Almost surely, 27023876401 is an apocalyptic number.

It is an amenable number.

7023876401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7023876401 is an equidigital number, since it uses as much as digits as its factorization.

7023876401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 7023876401 is about 83808.5699734818. The cubic root of 7023876401 is about 1915.1036627844.

The spelling of 7023876401 in words is "seven billion, twenty-three million, eight hundred seventy-six thousand, four hundred one".