Search a number
-
+
1315800473652 = 223571930413347
BaseRepresentation
bin10011001001011011110…
…100011110000000110100
311122210022101201200100000
4103021123310132000310
5133024224410124102
62444245334351300
7164030522326260
oct23113364360064
94583271650300
101315800473652
11468034078985
12193016abb530
1397105730b32
1447983c1d0a0
152436115701c
hex1325bd1e034

1315800473652 has 288 divisors, whose sum is σ = 4152064250880. Its totient is φ = 355933025280.

The previous prime is 1315800473641. The next prime is 1315800473653. The reversal of 1315800473652 is 2563740085131.

It is a happy number.

1315800473652 is a `hidden beast` number, since 1 + 3 + 1 + 580 + 0 + 4 + 7 + 3 + 65 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1315800473598 and 1315800473607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315800473653) 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 95 ways as a sum of consecutive naturals, for example, 393126643 + ... + 393129989.

It is an arithmetic number, because the mean of its divisors is an integer number (14416889760).

Almost surely, 21315800473652 is an apocalyptic number.

1315800473652 is a gapful number since it is divisible by the number (12) 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 1315800473652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076032125440).

1315800473652 is an abundant number, since it is smaller than the sum of its proper divisors (2836263777228).

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

1315800473652 is a wasteful number, since it uses less digits than its factorization.

1315800473652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1315800473652 in words is "one trillion, three hundred fifteen billion, eight hundred million, four hundred seventy-three thousand, six hundred fifty-two".