Search a number
-
+
396161694396 = 223413197477439
BaseRepresentation
bin1011100001111010001…
…00111011101010111100
31101212120012010020120000
411300331010323222330
522442314343210041
6501554423554300
740423153561446
oct5607504735274
91355505106500
10396161694396
11143013a48606
12649418bb990
132b4863816b0
14152624dd496
15a489962bb6
hex5c3d13babc

396161694396 has 120 divisors (see below), whose sum is σ = 1120973736960. Its totient is φ = 121276891008.

The previous prime is 396161694373. The next prime is 396161694421. The reversal of 396161694396 is 693496161693.

396161694396 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 616 + 9 + 4 + 3 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 591045 + ... + 1068483.

It is an arithmetic number, because the mean of its divisors is an integer number (9341447808).

Almost surely, 2396161694396 is an apocalyptic number.

396161694396 is a gapful number since it is divisible by the number (36) 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 396161694396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560486868480).

396161694396 is an abundant number, since it is smaller than the sum of its proper divisors (724812042564).

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

396161694396 is a wasteful number, since it uses less digits than its factorization.

396161694396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477665 (or 477654 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The spelling of 396161694396 in words is "three hundred ninety-six billion, one hundred sixty-one million, six hundred ninety-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 197 234 324 351 394 468 591 702 788 1053 1182 1404 1773 2106 2364 2561 3546 4212 5122 5319 7092 7683 10244 10638 15366 15957 21276 23049 30732 31914 46098 63828 69147 92196 138294 207441 276588 414882 477439 829764 954878 1432317 1909756 2864634 4296951 5729268 6206707 8593902 12413414 12890853 17187804 18620121 24826828 25781706 37240242 38672559 51563412 55860363 74480484 77345118 94055483 111720726 154690236 167581089 188110966 223441452 282166449 335162178 376221932 502743267 564332898 670324356 846499347 1005486534 1128665796 1222721279 1692998694 2010973068 2445442558 2539498041 3385997388 3668163837 4890885116 5078996082 7336327674 7618494123 10157992164 11004491511 14672655348 15236988246 22008983022 30473976492 33013474533 44017966044 66026949066 99040423599 132053898132 198080847198 396161694396