Search a number
-
+
83269182096 = 243213921732
BaseRepresentation
bin100110110001100111…
…0101110001010010000
321221221011122201202100
41031203032232022100
52331013402311341
6102130415320400
76005326240512
oct1154316561220
9257834581670
1083269182096
1132350311a71
121417a820100
137b10516aa9
14405d011bb2
1522754d53b6
hex13633ae290

83269182096 has 135 divisors (see below), whose sum is σ = 236091296649. Its totient is φ = 27397420416.

The previous prime is 83269182091. The next prime is 83269182131. The reversal of 83269182096 is 69028196238.

The square root of 83269182096 is 288564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75746048400 + 7523133696 = 275220^2 + 86736^2 .

It is not an unprimeable number, because it can be changed into a prime (83269182091) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 481324666 + ... + 481324838.

Almost surely, 283269182096 is an apocalyptic number.

83269182096 is the 288564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83269182096

83269182096 is an abundant number, since it is smaller than the sum of its proper divisors (152822114553).

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

83269182096 is a wasteful number, since it uses less digits than its factorization.

83269182096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 83269182096 in words is "eighty-three billion, two hundred sixty-nine million, one hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 173 278 346 417 519 556 692 834 1038 1112 1251 1384 1557 1668 2076 2224 2502 2768 3114 3336 4152 5004 6228 6672 8304 10008 12456 19321 20016 24047 24912 29929 38642 48094 57963 59858 72141 77284 89787 96188 115926 119716 144282 154568 173889 179574 192376 216423 231852 239432 269361 288564 309136 347778 359148 384752 432846 463704 478864 538722 577128 695556 718296 865692 927408 1077444 1154256 1391112 1436592 1731384 2154888 2782224 3342533 3462768 4160131 4309776 6685066 8320262 10027599 12480393 13370132 16640524 20055198 24960786 26740264 30082797 33281048 37441179 40110396 49921572 53480528 60165594 66562096 74882358 80220792 99843144 120331188 149764716 160441584 199686288 240662376 299529432 481324752 578258209 599058864 1156516418 1734774627 2313032836 3469549254 4626065672 5204323881 6939098508 9252131344 10408647762 13878197016 20817295524 27756394032 41634591048 83269182096