Search a number
-
+
106262741689 = 1314935474921
BaseRepresentation
bin110001011110111000…
…0001100001010111001
3101011021122002120202121
41202331300030022321
53220111230213224
6120452203201241
710451201254426
oct1427560141271
9334248076677
10106262741689
114107a602685
1218717216221
13a03615c660
145200b04d4d
152b6de71be4
hex18bdc0c2b9

106262741689 has 8 divisors (see below), whose sum is σ = 114513468552. Its totient is φ = 98022967680.

The previous prime is 106262741647. The next prime is 106262741707. The reversal of 106262741689 is 986147262601.

It can be written as a sum of positive squares in 4 ways, for example, as 46717225 + 106216024464 = 6835^2 + 325908^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106262741689 - 27 = 106262741561 is a prime.

It is a super-2 number, since 2×1062627416892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106262741639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2718052 + ... + 2756869.

It is an arithmetic number, because the mean of its divisors is an integer number (14314183569).

Almost surely, 2106262741689 is an apocalyptic number.

It is an amenable number.

106262741689 is a deficient number, since it is larger than the sum of its proper divisors (8250726863).

106262741689 is a wasteful number, since it uses less digits than its factorization.

106262741689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476427.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 106262741689 in words is "one hundred six billion, two hundred sixty-two million, seven hundred forty-one thousand, six hundred eighty-nine".

Divisors: 1 13 1493 19409 5474921 71173973 8174057053 106262741689