Search a number
-
+
1867960697681 = 13839211712197
BaseRepresentation
bin11011001011101011001…
…000100100001101010001
320121120112101121022110202
4123023223020210031101
5221101040414311211
63550043532304545
7251645543644631
oct33135310441521
96546471538422
101867960697681
1166021a130741
12262034312155
131071c00343a0
14665a46186c1
15338cb0e153b
hex1b2eb224351

1867960697681 has 8 divisors (see below), whose sum is σ = 2011675127784. Its totient is φ = 1724249859840.

The previous prime is 1867960697623. The next prime is 1867960697711.

1867960697681 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1057573651456 + 810387046225 = 1028384^2 + 900215^2 .

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 1867960697681 - 226 = 1867893588817 is a prime.

It is a super-2 number, since 2×18679606976812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1867960697599 and 1867960697608.

It is not an unprimeable number, because it can be changed into a prime (1867960697381) 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 7 ways as a sum of consecutive naturals, for example, 234875 + ... + 1947071.

It is an arithmetic number, because the mean of its divisors is an integer number (251459390973).

Almost surely, 21867960697681 is an apocalyptic number.

It is an amenable number.

1867960697681 is a deficient number, since it is larger than the sum of its proper divisors (143714430103).

1867960697681 is a wasteful number, since it uses less digits than its factorization.

1867960697681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796131.

The product of its (nonzero) digits is 329204736, while the sum is 74.

The spelling of 1867960697681 in words is "one trillion, eight hundred sixty-seven billion, nine hundred sixty million, six hundred ninety-seven thousand, six hundred eighty-one".

Divisors: 1 13 83921 1090973 1712197 22258561 143689284437 1867960697681