Search a number
-
+
400763126501 is a prime number
BaseRepresentation
bin1011101010011110101…
…10000000001011100101
31102022102212112012202022
411311033112000023211
523031230330022001
6504035200352525
740645166240423
oct5651726001345
91368385465668
10400763126501
11144a65378661
1265806915745
132ba3a78079a
141557b690113
15a6588da11b
hex5d4f5802e5

400763126501 has 2 divisors, whose sum is σ = 400763126502. Its totient is φ = 400763126500.

The previous prime is 400763126443. The next prime is 400763126507. The reversal of 400763126501 is 105621367004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293227665025 + 107535461476 = 541505^2 + 327926^2 .

It is a cyclic number.

It is not a de Polignac number, because 400763126501 - 214 = 400763110117 is a prime.

It is a super-2 number, since 2×4007631265012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400763126507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200381563250 + 200381563251.

It is an arithmetic number, because the mean of its divisors is an integer number (200381563251).

Almost surely, 2400763126501 is an apocalyptic number.

It is an amenable number.

400763126501 is a deficient number, since it is larger than the sum of its proper divisors (1).

400763126501 is an equidigital number, since it uses as much as digits as its factorization.

400763126501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 400763126501 in words is "four hundred billion, seven hundred sixty-three million, one hundred twenty-six thousand, five hundred one".