Search a number
-
+
2055058231668 = 22313591731290629
BaseRepresentation
bin11101111001111011000…
…001000001000101110100
321021110110112121210222120
4131321323001001011310
5232132224401403133
64212025233555540
7301321154515641
oct35717301010564
97243415553876
102055058231668
117225aa884192
1229234aa15bb0
1311ba39240a90
1471672cbcdc8
15386cb97cab3
hex1de7b041174

2055058231668 has 96 divisors (see below), whose sum is σ = 5281877462400. Its totient is φ = 618014636544.

The previous prime is 2055058231663. The next prime is 2055058231693. The reversal of 2055058231668 is 8661328505502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2055058231668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055058231663) 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, 946978 + ... + 2237606.

It is an arithmetic number, because the mean of its divisors is an integer number (55019556900).

Almost surely, 22055058231668 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 2055058231668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640938731200).

2055058231668 is an abundant number, since it is smaller than the sum of its proper divisors (3226819230732).

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

2055058231668 is a wasteful number, since it uses less digits than its factorization.

2055058231668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290881 (or 1290879 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 2055058231668 in words is "two trillion, fifty-five billion, fifty-eight million, two hundred thirty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 173 177 236 346 354 519 692 708 767 1038 1534 2076 2249 2301 3068 4498 4602 6747 8996 9204 10207 13494 20414 26988 30621 40828 61242 122484 132691 265382 398073 530764 796146 1290629 1592292 2581258 3871887 5162516 7743774 15487548 16778177 33556354 50334531 67112708 76147111 100669062 152294222 201338124 223278817 228441333 304588444 446557634 456882666 669836451 893115268 913765332 989912443 1339672902 1979824886 2679345804 2902624621 2969737329 3959649772 5805249242 5939474658 8707873863 11610498484 11878949316 13173450203 17415747726 26346900406 34831495452 39520350609 52693800812 79040701218 158081402436 171254852639 342509705278 513764557917 685019410556 1027529115834 2055058231668