Search a number
-
+
137823848382 = 231123473735179
BaseRepresentation
bin1000000001011011110…
…0010000011110111110
3111011202011212220221010
42000112330100132332
54224230401122012
6143152043220050
712646255244643
oct2002674203676
9434664786833
10137823848382
11534a5a73230
1222864b17626
13ccc5a9060c
1469565dbdca
1538b9b65c3c
hex2016f107be

137823848382 has 128 divisors (see below), whose sum is σ = 321378140160. Its totient is φ = 38986611840.

The previous prime is 137823848369. The next prime is 137823848387. The reversal of 137823848382 is 283848328731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137823848387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26609469 + ... + 26614647.

It is an arithmetic number, because the mean of its divisors is an integer number (2510766720).

Almost surely, 2137823848382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137823848382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160689070080).

137823848382 is an abundant number, since it is smaller than the sum of its proper divisors (183554291778).

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

137823848382 is a wasteful number, since it uses less digits than its factorization.

137823848382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638.

The product of its digits is 12386304, while the sum is 57.

The spelling of 137823848382 in words is "one hundred thirty-seven billion, eight hundred twenty-three million, eight hundred forty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 47 66 69 94 138 141 253 282 373 506 517 746 759 1034 1081 1119 1518 1551 2162 2238 3102 3243 4103 5179 6486 8206 8579 10358 11891 12309 15537 17158 17531 23782 24618 25737 31074 35062 35673 51474 52593 56969 71346 94369 105186 113938 119117 170907 188738 192841 238234 243413 283107 341814 357351 385682 403213 486826 566214 578523 714702 730239 806426 1157046 1209639 1310287 1460478 1931767 2419278 2620574 2677543 3863534 3930861 4435343 5355086 5598499 5795301 7861722 8032629 8870686 11196998 11590602 13306029 16065258 16795497 21249437 26612058 33590994 42498874 44430641 61583489 63748311 88861282 90793049 123166978 127496622 133291923 181586098 184750467 266583846 272379147 369500934 488737051 544758294 977474102 998723539 1466211153 1997447078 2088240127 2932422306 2996170617 4176480254 5992341234 6264720381 12529440762 22970641397 45941282794 68911924191 137823848382