Search a number
-
+
31764416302081 = 178774253500953
BaseRepresentation
bin1110011100011101110101…
…10000000000110000000001
311011110122111210020210000001
413032032322300000300001
513130412011033131311
6151320212120000001
76455621563452601
oct716167260006001
9134418453223001
1031764416302081
11a1372389a6831
1236901a6900001
1314954aa5520a8
147bb597d0ac01
153a13ea9044c1
hex1ce3bac00c01

31764416302081 has 16 divisors (see below), whose sum is σ = 33679245626064. Its totient is φ = 29854751422464.

The previous prime is 31764416302079. The next prime is 31764416302103. The reversal of 31764416302081 is 18020361446713.

It can be written as a sum of positive squares in 8 ways, for example, as 979496193025 + 30784920109056 = 989695^2 + 5548416^2 .

It is a cyclic number.

It is not a de Polignac number, because 31764416302081 - 21 = 31764416302079 is a prime.

It is a super-2 number, since 2×317644163020812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31764416300081) 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, 63157501 + ... + 63658453.

It is an arithmetic number, because the mean of its divisors is an integer number (2104952851629).

Almost surely, 231764416302081 is an apocalyptic number.

It is an amenable number.

31764416302081 is a deficient number, since it is larger than the sum of its proper divisors (1914829323983).

31764416302081 is a wasteful number, since it uses less digits than its factorization.

31764416302081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506100.

The product of its (nonzero) digits is 580608, while the sum is 46.

Adding to 31764416302081 its reverse (18020361446713), we get a palindrome (49784777748794).

The spelling of 31764416302081 in words is "thirty-one trillion, seven hundred sixty-four billion, four hundred sixteen million, three hundred two thousand, eighty-one".

Divisors: 1 17 877 4253 14909 72301 500953 3729881 8516201 63407977 439335781 2130553109 7468708277 36219402853 1868495076593 31764416302081