Search a number
-
+
15645412113390 = 23251971607212297
BaseRepresentation
bin1110001110101011101100…
…1110110011101111101110
32001101200112200002211002100
43203222323032303233232
54022313301000112030
653135223023035530
73203225616505503
oct343527316635756
961350480084070
1015645412113390
114a92200298aa4
121908228a3bba6
138964822811a7
143c13560234aa
151c1e8e1c8360
hexe3abb3b3bee

15645412113390 has 192 divisors, whose sum is σ = 43493847920640. Its totient is φ = 3890417610240.

The previous prime is 15645412113389. The next prime is 15645412113407. The reversal of 15645412113390 is 9331121454651.

15645412113390 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 5 + 41 + 211 + 3 + 390 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73589722 + ... + 73802018.

It is an arithmetic number, because the mean of its divisors is an integer number (226530457920).

Almost surely, 215645412113390 is an apocalyptic number.

15645412113390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15645412113390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21746923960320).

15645412113390 is an abundant number, since it is smaller than the sum of its proper divisors (27848435807250).

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

15645412113390 is a wasteful number, since it uses less digits than its factorization.

15645412113390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213007 (or 213004 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 15645412113390 in words is "fifteen trillion, six hundred forty-five billion, four hundred twelve million, one hundred thirteen thousand, three hundred ninety".