Search a number
-
+
275141146601 = 192762163841
BaseRepresentation
bin1000000000011111011…
…00001011011111101001
3222022012001121102200002
410000033230023133221
514001442113142401
6330221553352345
725610153105156
oct4001754133751
9868161542602
10275141146601
11a6761005862
12453a82686b5
131cc3a9145b9
14d46181b22d
1572550bca6b
hex400fb0b7e9

275141146601 has 6 divisors (see below), whose sum is σ = 290384423802. Its totient is φ = 260660033280.

The previous prime is 275141146591. The next prime is 275141146613. The reversal of 275141146601 is 106641141572.

It can be written as a sum of positive squares in only one way, i.e., 272113506025 + 3027640576 = 521645^2 + 55024^2 .

It is not a de Polignac number, because 275141146601 - 238 = 263239657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (275141146001) 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 in 5 ways as a sum of consecutive naturals, for example, 381081560 + ... + 381082281.

It is an arithmetic number, because the mean of its divisors is an integer number (48397403967).

Almost surely, 2275141146601 is an apocalyptic number.

It is an amenable number.

275141146601 is a deficient number, since it is larger than the sum of its proper divisors (15243277201).

275141146601 is an equidigital number, since it uses as much as digits as its factorization.

275141146601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762163879 (or 762163860 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 275141146601 in words is "two hundred seventy-five billion, one hundred forty-one million, one hundred forty-six thousand, six hundred one".

Divisors: 1 19 361 762163841 14481112979 275141146601