Search a number
-
+
1026375706657 = 732992348999
BaseRepresentation
bin11101110111110001100…
…00100110100000100001
310122010020212222011001101
432323320300212200201
5113304004140103112
62103302133234401
7134103355363000
oct16737060464041
93563225864041
101026375706657
11366313368774
12146b03192a01
1375a2c826162
14379693bac37
151ba720d0757
hexeef8c26821

1026375706657 has 8 divisors (see below), whose sum is σ = 1196939600000. Its totient is φ = 879750605412.

The previous prime is 1026375706649. The next prime is 1026375706711. The reversal of 1026375706657 is 7566075736201.

It is a happy number.

It is not a de Polignac number, because 1026375706657 - 23 = 1026375706649 is a prime.

It is a super-2 number, since 2×10263757066572 (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 = 1026375706598 and 1026375706607.

It is not an unprimeable number, because it can be changed into a prime (1026375704657) 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, 1496174157 + ... + 1496174842.

It is an arithmetic number, because the mean of its divisors is an integer number (149617450000).

Almost surely, 21026375706657 is an apocalyptic number.

It is an amenable number.

1026375706657 is a deficient number, since it is larger than the sum of its proper divisors (170563893343).

1026375706657 is an frugal number, since it uses more digits than its factorization.

1026375706657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992349020 (or 2992349006 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 1026375706657 in words is "one trillion, twenty-six billion, three hundred seventy-five million, seven hundred six thousand, six hundred fifty-seven".

Divisors: 1 7 49 343 2992348999 20946442993 146625100951 1026375706657