Search a number
-
+
116742685957 = 17129721412473
BaseRepresentation
bin110110010111001101…
…0000000010100000101
3102011022222221220122121
41230232122000110011
53403042111422312
6125344132525541
711301664313002
oct1545632002405
9364288856577
10116742685957
1145568225947
121a760a808b1
13b0163cc301
1459168bc8a9
153084035707
hex1b2e680505

116742685957 has 16 divisors (see below), whose sum is σ = 123813032112. Its totient is φ = 109695098880.

The previous prime is 116742685933. The next prime is 116742686009. The reversal of 116742685957 is 759586247611.

It can be written as a sum of positive squares in 8 ways, for example, as 74490239041 + 42252446916 = 272929^2 + 205554^2 .

It is a cyclic number.

It is not a de Polignac number, because 116742685957 - 223 = 116734297349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116742685895 and 116742685904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116742635957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47205673 + ... + 47208145.

It is an arithmetic number, because the mean of its divisors is an integer number (7738314507).

Almost surely, 2116742685957 is an apocalyptic number.

116742685957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

116742685957 is a deficient number, since it is larger than the sum of its proper divisors (7070346155).

116742685957 is a wasteful number, since it uses less digits than its factorization.

116742685957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928.

The product of its digits is 25401600, while the sum is 61.

The spelling of 116742685957 in words is "one hundred sixteen billion, seven hundred forty-two million, six hundred eighty-five thousand, nine hundred fifty-seven".

Divisors: 1 17 1297 2141 2473 22049 36397 42041 2776877 3207481 5294693 47206909 54527177 90009781 6867216821 116742685957