Search a number
-
+
1261298225088 = 263211215392461
BaseRepresentation
bin10010010110101011001…
…110111000111111000000
311110120122001010120202100
4102112223032320333000
5131131114321200323
62403233222150400
7160061101006356
oct22265316707700
94416561116670
101261298225088
11446a05a69950
12184546282400
1391c2acab005
14450935997d6
1522c213cc943
hex125ab3b8fc0

1261298225088 has 168 divisors, whose sum is σ = 3945820288176. Its totient is φ = 382029926400.

The previous prime is 1261298225087. The next prime is 1261298225101. The reversal of 1261298225088 is 8805228921621.

1261298225088 is a `hidden beast` number, since 1 + 2 + 6 + 129 + 8 + 2 + 2 + 508 + 8 = 666.

It is a super-2 number, since 2×12612982250882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261298225087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13595178 + ... + 13687638.

Almost surely, 21261298225088 is an apocalyptic number.

1261298225088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261298225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972910144088).

1261298225088 is an abundant number, since it is smaller than the sum of its proper divisors (2684522063088).

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

1261298225088 is a wasteful number, since it uses less digits than its factorization.

1261298225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94643 (or 94630 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1261298225088 in words is "one trillion, two hundred sixty-one billion, two hundred ninety-eight million, two hundred twenty-five thousand, eighty-eight".