Search a number
-
+
4069111480 = 2357472411283
BaseRepresentation
bin1111001010001001…
…1011011010111000
3101111120202021120121
43302202123122320
531313143031410
61511435103024
7202556606530
oct36242333270
911446667517
104069111480
1117a89a8755
129568a1a74
134cb03b995
142a85c44c0
1518c3779da
hexf289b6b8

4069111480 has 128 divisors (see below), whose sum is σ = 10738759680. Its totient is φ = 1358714880.

The previous prime is 4069111471. The next prime is 4069111523. The reversal of 4069111480 is 841119604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3170919 + ... + 3172201.

It is an arithmetic number, because the mean of its divisors is an integer number (83896560).

Almost surely, 24069111480 is an apocalyptic number.

4069111480 is a gapful number since it is divisible by the number (40) 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 4069111480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369379840).

4069111480 is an abundant number, since it is smaller than the sum of its proper divisors (6669648200).

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

4069111480 is a wasteful number, since it uses less digits than its factorization.

4069111480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 4069111480 is about 63789.5875515746. The cubic root of 4069111480 is about 1596.4912014579.

The spelling of 4069111480 in words is "four billion, sixty-nine million, one hundred eleven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 241 280 329 376 470 482 658 940 964 1205 1283 1316 1645 1687 1880 1928 2410 2566 2632 3290 3374 4820 5132 6415 6580 6748 8435 8981 9640 10264 11327 12830 13160 13496 16870 17962 22654 25660 33740 35924 44905 45308 51320 56635 60301 67480 71848 79289 89810 90616 113270 120602 158578 179620 226540 241204 301505 309203 317156 359240 396445 422107 453080 482408 603010 618406 634312 792890 844214 1206020 1236812 1546015 1585780 1688428 2110535 2164421 2412040 2473624 3092030 3171560 3376856 4221070 4328842 6184060 8442140 8657684 10822105 12368120 14532541 16884280 17315368 21644210 29065082 43288420 58130164 72662705 86576840 101727787 116260328 145325410 203455574 290650820 406911148 508638935 581301640 813822296 1017277870 2034555740 4069111480