Search a number
-
+
1042932533838 = 23132918122311423
BaseRepresentation
bin11110010110100111001…
…11111000101001001110
310200200222202120010010220
433023103213320221032
5114041411212040323
62115041103412210
7135230561161116
oct17132347705116
93620882503126
101042932533838
1137233a254018
1214a163bb4066
137746aa70210
143869a298046
151c1e09170e3
hexf2d39f8a4e

1042932533838 has 128 divisors (see below), whose sum is σ = 2347297505280. Its totient is φ = 306716336640.

The previous prime is 1042932533837. The next prime is 1042932533849. The reversal of 1042932533838 is 8383352392401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042932533837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91295395 + ... + 91306817.

It is an arithmetic number, because the mean of its divisors is an integer number (18338261760).

Almost surely, 21042932533838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042932533838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173648752640).

1042932533838 is an abundant number, since it is smaller than the sum of its proper divisors (1304364971442).

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

1042932533838 is a wasteful number, since it uses less digits than its factorization.

1042932533838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874.

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 1042932533838 in words is "one trillion, forty-two billion, nine hundred thirty-two million, five hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 181 223 362 377 446 543 669 754 1086 1131 1338 2262 2353 2899 4706 5249 5798 6467 7059 8697 10498 11423 12934 14118 15747 17394 19401 22846 31494 34269 38802 40363 68237 68538 80726 84071 121089 136474 148499 168142 204711 242178 252213 296998 331267 409422 445497 504426 524719 662534 890994 993801 1049438 1170527 1574157 1987602 2067563 2341054 2547329 3148314 3511581 4135126 4306471 5094658 6202689 7023162 7641987 8612942 12405378 12919413 15216851 15283974 25838826 26878319 30433702 33115277 45650553 53756638 59959327 66230554 73872541 80634957 91301106 99345831 119918654 147745082 161269914 179877981 198691662 221617623 359755962 443235246 461066549 779471251 922133098 960343033 1383199647 1558942502 1920686066 2338413753 2766399294 2881029099 4676827506 5762058198 5993865137 11987730274 13370929921 17981595411 26741859842 35963190822 40112789763 80225579526 173822088973 347644177946 521466266919 1042932533838