Search a number
-
+
3794144911152 = 2432373197923789
BaseRepresentation
bin110111001101100100101…
…010001101111100110000
3111102201100111000200111020
4313031210222031330300
5444130402044124102
612023001153015440
7541055306424201
oct67154452157460
914381314020436
103794144911152
1112330a6986572
125133b7554580
13216a2b74a35b
14d18cd7b15a8
1568a639c4bbc
hex37364a8df30

3794144911152 has 160 divisors (see below), whose sum is σ = 10373475340800. Its totient is φ = 1192502716416.

The previous prime is 3794144911133. The next prime is 3794144911159. The reversal of 3794144911152 is 2511194414973.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3794144911095 and 3794144911104.

It is not an unprimeable number, because it can be changed into a prime (3794144911159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159479674 + ... + 159503462.

It is an arithmetic number, because the mean of its divisors is an integer number (64834220880).

Almost surely, 23794144911152 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 3794144911152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186737670400).

3794144911152 is an abundant number, since it is smaller than the sum of its proper divisors (6579330429648).

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

3794144911152 is a wasteful number, since it uses less digits than its factorization.

3794144911152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25875 (or 25869 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 3794144911152 in words is "three trillion, seven hundred ninety-four billion, one hundred forty-four million, nine hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 184 219 276 292 368 438 552 584 876 1104 1168 1679 1752 1979 3358 3504 3958 5037 5937 6716 7916 10074 11874 13432 15832 20148 23748 23789 26864 31664 40296 45517 47496 47578 71367 80592 91034 94992 95156 136551 142734 144467 182068 190312 273102 285468 288934 364136 380624 433401 546204 547147 570936 577868 728272 866802 1092408 1094294 1141872 1155736 1641441 1733604 1736597 2184816 2188588 2311472 3282882 3322741 3467208 3473194 4377176 5209791 6565764 6645482 6934416 6946388 8754352 9968223 10419582 13131528 13290964 13892776 19936446 20839164 26263056 26581928 27785552 39872892 39941731 41678328 47078431 53163856 79745784 79883462 83356656 94156862 119825193 141235293 159491568 159766924 188313724 239650386 282470586 319533848 376627448 479300772 564941172 639067696 753254896 958601544 1082803913 1129882344 1917203088 2165607826 2259764688 3248411739 3436725463 4331215652 6496823478 6873450926 8662431304 10310176389 12993646956 13746901852 17324862608 20620352778 25987293912 27493803704 41240705556 51974587824 54987607408 79044685649 82481411112 158089371298 164962822224 237134056947 316178742596 474268113894 632357485192 948536227788 1264714970384 1897072455576 3794144911152