Search a number
-
+
105786142276 = 22307317331821
BaseRepresentation
bin110001010000101011…
…0000110111001000100
3101010001102021211021111
41202201112012321010
53213122223023101
6120333020054404
710433323241653
oct1424126067104
9333042254244
10105786142276
1140955579471
1218603694404
139c8b4ab779
1451976c119a
152b421cc251
hex18a1586e44

105786142276 has 48 divisors (see below), whose sum is σ = 187105165632. Its totient is φ = 52331875200.

The previous prime is 105786142271. The next prime is 105786142279. The reversal of 105786142276 is 672241687501.

It is a super-2 number, since 2×1057861422762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105786142271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128849946 + ... + 128850766.

It is an arithmetic number, because the mean of its divisors is an integer number (3898024284).

Almost surely, 2105786142276 is an apocalyptic number.

It is an amenable number.

105786142276 is a deficient number, since it is larger than the sum of its proper divisors (81319023356).

105786142276 is a wasteful number, since it uses less digits than its factorization.

105786142276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 105786142276 in words is "one hundred five billion, seven hundred eighty-six million, one hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 4 307 317 331 614 634 662 821 1228 1268 1324 1642 3284 97319 101617 104927 194638 203234 209854 252047 260257 271751 389276 406468 419708 504094 520514 543502 1008188 1041028 1087004 32212589 64425178 79898899 83427557 86145067 128850356 159797798 166855114 172290134 319595596 333710228 344580268 26446535569 52893071138 105786142276