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4069132032 = 28372332909
BaseRepresentation
bin1111001010001010…
…0000011100000000
3101111120210022202210
43302202200130000
531313144211112
61511435342120
7202560023460
oct36242403400
911446708683
104069132032
1117a8a12139
129568b1940
134cb048144
142a85cbba0
1518c37db3c
hexf28a0700

4069132032 has 144 divisors (see below), whose sum is σ = 12915463680. Its totient is φ = 1112027136.

The previous prime is 4069132027. The next prime is 4069132051. The reversal of 4069132032 is 2302319604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107194 + ... + 140102.

It is an arithmetic number, because the mean of its divisors is an integer number (89690720).

Almost surely, 24069132032 is an apocalyptic number.

4069132032 is a gapful number since it is divisible by the number (42) 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 4069132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457731840).

4069132032 is an abundant number, since it is smaller than the sum of its proper divisors (8846331648).

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

4069132032 is a wasteful number, since it uses less digits than its factorization.

4069132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32958 (or 32944 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 4069132032 is about 63789.7486434929. The cubic root of 4069132032 is about 1596.4938892709.

The spelling of 4069132032 in words is "four billion, sixty-nine million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 552 644 672 736 768 896 966 1104 1288 1344 1472 1792 1932 2208 2576 2688 2944 3864 4416 5152 5376 5888 7728 8832 10304 15456 17664 20608 30912 32909 41216 61824 65818 98727 123648 131636 197454 230363 263272 394908 460726 526544 691089 756907 789816 921452 1053088 1382178 1513814 1579632 1842904 2106176 2270721 2764356 3027628 3159264 3685808 4212352 4541442 5298349 5528712 6055256 6318528 7371616 8424704 9082884 10596698 11057424 12110512 12637056 14743232 15895047 18165768 21193396 22114848 24221024 25274112 29486464 31790094 36331536 42386792 44229696 48442048 58972928 63580188 72663072 84773584 88459392 96884096 127160376 145326144 169547168 176918784 193768192 254320752 290652288 339094336 508641504 581304576 678188672 1017283008 1356377344 2034566016 4069132032