Search a number
-
+
464551061130757 is a prime number
BaseRepresentation
bin110100110100000011011100…
…0111110101000111000000101
32020220211122111012002020122201
41221220012320332220320011
5441342201033122141012
64324003451123554501
7166564464234254146
oct15150067076507005
92226748435066581
10464551061130757
11125024aa9207087
124412913652ba31
1316c29c918a4173
1482a0569b35acd
1538a908c3bd857
hex1a681b8fa8e05

464551061130757 has 2 divisors, whose sum is σ = 464551061130758. Its totient is φ = 464551061130756.

The previous prime is 464551061130743. The next prime is 464551061130769. The reversal of 464551061130757 is 757031160155464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 449142994684036 + 15408066446721 = 21192994^2 + 3925311^2 .

It is a cyclic number.

It is not a de Polignac number, because 464551061130757 - 235 = 464516701392389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464551061130698 and 464551061130707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (464551061130707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232275530565378 + 232275530565379.

It is an arithmetic number, because the mean of its divisors is an integer number (232275530565379).

Almost surely, 2464551061130757 is an apocalyptic number.

It is an amenable number.

464551061130757 is a deficient number, since it is larger than the sum of its proper divisors (1).

464551061130757 is an equidigital number, since it uses as much as digits as its factorization.

464551061130757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584000, while the sum is 55.

The spelling of 464551061130757 in words is "four hundred sixty-four trillion, five hundred fifty-one billion, sixty-one million, one hundred thirty thousand, seven hundred fifty-seven".