Search a number
-
+
1069082307720 = 233257319455681
BaseRepresentation
bin11111000111010100100…
…01010110110010001000
310210012111011222021012200
433203222101112302020
5120003440032321340
62135044000040200
7140144566452000
oct17435221266210
93705434867180
101069082307720
11382439101199
12153241603060
1379a775638bb
1439a5b219000
151cc21503330
hexf8ea456c88

1069082307720 has 384 divisors, whose sum is σ = 4265183520000. Its totient is φ = 231500021760.

The previous prime is 1069082307691. The next prime is 1069082307791. The reversal of 1069082307720 is 277032809601.

It is a super-2 number, since 2×10690823077202 (a number of 25 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 2118280 + ... + 2573960.

It is an arithmetic number, because the mean of its divisors is an integer number (11107248750).

Almost surely, 21069082307720 is an apocalyptic number.

1069082307720 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 1069082307720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132591760000).

1069082307720 is an abundant number, since it is smaller than the sum of its proper divisors (3196101212280).

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

1069082307720 is a wasteful number, since it uses less digits than its factorization.

1069082307720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455738 (or 455717 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1069082307720 in words is "one trillion, sixty-nine billion, eighty-two million, three hundred seven thousand, seven hundred twenty".