Search a number
-
+
35541124052225 = 52111311935111753
BaseRepresentation
bin10000001010011000100000…
…00100101111010100000001
311122211200212001011220102012
420011030100010233110001
514124301210224132400
6203331211134102305
710325522120612021
oct1005142004572401
9148750761156365
1035541124052225
11103629a6a77130
123ba013664a995
1316aa68a55619c
148ac2b1923a81
1541978d64cd35
hex20531012f501

35541124052225 has 48 divisors (see below), whose sum is σ = 48695468272704. Its totient is φ = 25517865984000.

The previous prime is 35541124052207. The next prime is 35541124052263. The reversal of 35541124052225 is 52225042114553.

It is a de Polignac number, because none of the positive numbers 2k-35541124052225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4396949 + ... + 9508701.

It is an arithmetic number, because the mean of its divisors is an integer number (1014488922348).

Almost surely, 235541124052225 is an apocalyptic number.

It is an amenable number.

35541124052225 is a deficient number, since it is larger than the sum of its proper divisors (13154344220479).

35541124052225 is a wasteful number, since it uses less digits than its factorization.

35541124052225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112098 (or 5112093 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

Adding to 35541124052225 its reverse (52225042114553), we get a palindrome (87766166166778).

The spelling of 35541124052225 in words is "thirty-five trillion, five hundred forty-one billion, one hundred twenty-four million, fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 131 193 275 655 965 1441 2123 3275 4825 7205 10615 25283 36025 53075 126415 278113 632075 1390565 5111753 6952825 25558765 56229283 127793825 281146415 669639643 986568329 1405732075 3348198215 4932841645 7366036073 10852251619 16740991075 24664208225 36830180365 54261258095 129240451099 184150901825 271306290475 646202255495 1421644962089 3231011277475 7108224810445 35541124052225