Search a number
-
+
1235109580068 = 22371319731276421
BaseRepresentation
bin10001111110010010010…
…001001000110100100100
311101002000220120120111210
4101332102101020310210
5130214001023030233
62343222420431420
7155143111131540
oct21762221106444
94332026516453
101235109580068
11436897182271
1217b457848570
138c616427860
1443acb3daa20
15221dc1b4163
hex11f92448d24

1235109580068 has 384 divisors, whose sum is σ = 3815206420480. Its totient is φ = 301927772160.

The previous prime is 1235109580057. The next prime is 1235109580091. The reversal of 1235109580068 is 8600859015321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1235109579999 and 1235109580026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192351498 + ... + 192357918.

Almost surely, 21235109580068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1235109580068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907603210240).

1235109580068 is an abundant number, since it is smaller than the sum of its proper divisors (2580096840412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1235109580068 is a wasteful number, since it uses less digits than its factorization.

1235109580068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 1235109580068 in words is "one trillion, two hundred thirty-five billion, one hundred nine million, five hundred eighty thousand, sixty-eight".