Search a number
-
+
2160463383936 = 273411131785717
BaseRepresentation
bin11111011100000101101…
…001110000110110000000
321122112112102000100020000
4133130011221300312000
5240344112111241221
64332300404120000
7312042203522604
oct37340551606600
97575472010200
102160463383936
1176327a291180
122aa866996000
13128966805870
14767d1b47504
153b2ea49de26
hex1f705a70d80

2160463383936 has 640 divisors, whose sum is σ = 7997962563360. Its totient is φ = 568770232320.

The previous prime is 2160463383901. The next prime is 2160463383959. The reversal of 2160463383936 is 6393833640612.

It is a happy number.

2160463383936 is a `hidden beast` number, since 2 + 1 + 60 + 463 + 38 + 3 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 25161750 + ... + 25247466.

Almost surely, 22160463383936 is an apocalyptic number.

2160463383936 is a gapful number since it is divisible by the number (26) 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 2160463383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998981281680).

2160463383936 is an abundant number, since it is smaller than the sum of its proper divisors (5837499179424).

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

2160463383936 is a wasteful number, since it uses less digits than its factorization.

2160463383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85784 (or 85763 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 2160463383936 in words is "two trillion, one hundred sixty billion, four hundred sixty-three million, three hundred eighty-three thousand, nine hundred thirty-six".