Search a number
-
+
2353316133532 = 2272131767810881
BaseRepresentation
bin100010001111101100100…
…100100111101010011100
322022222022122111002100111
4202033230210213222130
5302024042412233112
65001033135535404
7332010240042100
oct42175444475234
98288278432314
102353316133532
11828043674361
1232010898a564
13140bbc173590
1481c888db900
154133621e5a7
hex223ec927a9c

2353316133532 has 144 divisors (see below), whose sum is σ = 5544214306848. Its totient is φ = 863139594240.

The previous prime is 2353316133451. The next prime is 2353316133533.

2353316133532 is nontrivially palindromic in base 10.

2353316133532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353316133533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496732 + ... + 3307612.

It is an arithmetic number, because the mean of its divisors is an integer number (38501488242).

Almost surely, 22353316133532 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 2353316133532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772107153424).

2353316133532 is an abundant number, since it is smaller than the sum of its proper divisors (3190898173316).

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

2353316133532 is a wasteful number, since it uses less digits than its factorization.

2353316133532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810996 (or 810987 counting only the distinct ones).

The product of its digits is 437400, while the sum is 40.

The spelling of 2353316133532 in words is "two trillion, three hundred fifty-three billion, three hundred sixteen million, one hundred thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 67 68 91 98 119 134 182 196 221 238 268 364 442 469 476 637 833 871 884 938 1139 1274 1547 1666 1742 1876 2278 2548 3094 3283 3332 3484 4556 6097 6188 6566 7973 10829 12194 13132 14807 15946 21658 24388 29614 31892 42679 43316 55811 59228 85358 103649 111622 170716 207298 223244 414596 725543 810881 1451086 1621762 2902172 3243524 5676167 10541453 11352334 13784977 21082906 22704668 27569954 39733169 42165812 54329027 55139908 73790171 79466338 96494839 108658054 147580342 158932676 179204701 192989678 217316108 295160684 358409402 380303189 385979356 516531197 675463873 706277351 716818804 760606378 923593459 1033062394 1254432907 1350927746 1412554702 1521212756 1847186918 2066124788 2508865814 2662122323 2701855492 2825109404 3694373836 4943941457 5017731628 5324244646 6465154213 8781030349 9887882914 10648489292 12006714967 12930308426 17562060698 19775765828 24013429934 25860616852 34607590199 35124121396 45256079491 48026859868 69215180398 84047004769 90512158982 138430360796 168094009538 181024317964 336188019076 588329033383 1176658066766 2353316133532