Search a number
-
+
4769163072 = 263264112917
BaseRepresentation
bin1000111000100001…
…11010011101000000
3110022101000120211100
410130100322131000
534231401204242
62105123414400
7226120134342
oct43420723500
913271016740
104769163072
112028082893
12b11224400
135b00986ab
14333573292
151cda5a54c
hex11c43a740

4769163072 has 84 divisors (see below), whose sum is σ = 13692330756. Its totient is φ = 1587118080.

The previous prime is 4769163053. The next prime is 4769163097. The reversal of 4769163072 is 2703619674.

4769163072 is a `hidden beast` number, since 4 + 7 + 6 + 9 + 1 + 630 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3559792896 + 1209370176 = 59664^2 + 34776^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362758 + ... + 375674.

Almost surely, 24769163072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4769163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846165378).

4769163072 is an abundant number, since it is smaller than the sum of its proper divisors (8923167684).

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

4769163072 is a wasteful number, since it uses less digits than its factorization.

4769163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4769163072 is about 69059.1273619932. The cubic root of 4769163072 is about 1683.2452238255.

The spelling of 4769163072 in words is "four billion, seven hundred sixty-nine million, one hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 641 1282 1923 2564 3846 5128 5769 7692 10256 11538 12917 15384 20512 23076 25834 30768 38751 41024 46152 51668 61536 77502 92304 103336 116253 123072 155004 184608 206672 232506 310008 369216 413344 465012 620016 826688 930024 1240032 1860048 2480064 3720096 7440192 8279797 16559594 24839391 33119188 49678782 66238376 74518173 99357564 132476752 149036346 198715128 264953504 298072692 397430256 529907008 596145384 794860512 1192290768 1589721024 2384581536 4769163072