Search a number
-
+
1297680688200 = 2335213357146589
BaseRepresentation
bin10010111000100011110…
…010111110010001001000
311121001112121011012120010
4102320203302332101020
5132230122224010300
62432051332431520
7162516510565401
oct22704362762110
94531477135503
101297680688200
11460385a10986
1218b5ba7785a0
13954a87501b0
1446b455309a8
1523b504dba50
hex12e23cbe448

1297680688200 has 192 divisors, whose sum is σ = 4333563259200. Its totient is φ = 319332787200.

The previous prime is 1297680688169. The next prime is 1297680688217. The reversal of 1297680688200 is 28860867921.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27830506 + ... + 27877094.

It is an arithmetic number, because the mean of its divisors is an integer number (22570641975).

Almost surely, 21297680688200 is an apocalyptic number.

1297680688200 is a gapful number since it is divisible by the number (10) 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 1297680688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166781629600).

1297680688200 is an abundant number, since it is smaller than the sum of its proper divisors (3035882571000).

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

1297680688200 is a wasteful number, since it uses less digits than its factorization.

1297680688200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50192 (or 50183 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 1297680688200 in words is "one trillion, two hundred ninety-seven billion, six hundred eighty million, six hundred eighty-eight thousand, two hundred".