Search a number
-
+
127921093326 = 23213975879601
BaseRepresentation
bin111011100100010110…
…0001111101011001110
3110020012001002211210100
41313020230033223032
54043440244441301
6134433252551530
712146001231645
oct1671054175316
9406161084710
10127921093326
114a284138844
12209606225a6
13c0a8290940
14629735035c
1534da5b6286
hex1dc8b0face

127921093326 has 96 divisors (see below), whose sum is σ = 302104883808. Its totient is φ = 38884147200.

The previous prime is 127921093303. The next prime is 127921093327. The reversal of 127921093326 is 623390129721.

127921093326 is a `hidden beast` number, since 1 + 27 + 9 + 210 + 93 + 326 = 666.

It is a super-2 number, since 2×1279210933262 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127921093327) 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, 13318926 + ... + 13328526.

It is an arithmetic number, because the mean of its divisors is an integer number (3146925873).

Almost surely, 2127921093326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127921093326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151052441904).

127921093326 is an abundant number, since it is smaller than the sum of its proper divisors (174183790482).

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

127921093326 is a wasteful number, since it uses less digits than its factorization.

127921093326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 127921093326 in words is "one hundred twenty-seven billion, nine hundred twenty-one million, ninety-three thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 587 873 1174 1261 1746 1761 2522 3522 3783 5283 7566 7631 9601 10566 11349 15262 19202 22698 22893 28803 45786 56939 57606 68679 86409 113878 124813 137358 170817 172818 249626 341634 374439 512451 740207 748878 931297 1024902 1123317 1480414 1862594 2220621 2246634 2793891 4441242 5587782 5635787 6661863 8381673 11271574 12106861 13323726 16763346 16907361 24213722 33814722 36320583 50722083 72641166 73265231 101444166 108961749 146530462 217923498 219795693 439591386 546671339 659387079 1093342678 1318774158 1640014017 3280028034 4920042051 7106727407 9840084102 14213454814 21320182221 42640364442 63960546663 127921093326