Search a number
-
+
1065913681770 = 2345717107103349
BaseRepresentation
bin11111000001011010110…
…10000000011101101010
310202220022100122101120000
433200231122000131222
5114430442400304040
62133401325243430
7140003222542320
oct17405532003552
93686270571500
101065913681770
11381062537663
121526b8403576
1379690c5b5c2
143983a479d10
151cad8251130
hexf82d68076a

1065913681770 has 320 divisors, whose sum is σ = 3500697657600. Its totient is φ = 227160557568.

The previous prime is 1065913681759. The next prime is 1065913681799. The reversal of 1065913681770 is 771863195601.

1065913681770 is a `hidden beast` number, since 1 + 0 + 6 + 591 + 36 + 8 + 17 + 7 + 0 = 666.

It is a super-2 number, since 2×10659136817702 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon 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 159 ways as a sum of consecutive naturals, for example, 10262056 + ... + 10365404.

It is an arithmetic number, because the mean of its divisors is an integer number (10939680180).

Almost surely, 21065913681770 is an apocalyptic number.

1065913681770 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 1065913681770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750348828800).

1065913681770 is an abundant number, since it is smaller than the sum of its proper divisors (2434783975830).

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

1065913681770 is a wasteful number, since it uses less digits than its factorization.

1065913681770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103499 (or 103490 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1065913681770 in words is "one trillion, sixty-five billion, nine hundred thirteen million, six hundred eighty-one thousand, seven hundred seventy".