Search a number
-
+
6307156181249 = 7112947337178327
BaseRepresentation
bin101101111000111111111…
…0011011100000100000001
3211022221212120002020211022
41123301333303130010001
51311314023440244444
621225244553555225
71220451131655650
oct133617763340401
924287776066738
106307156181249
112011939267630
1285a451a15b15
133699ba948b81
1417b3a7505197
15ae0e4a119ee
hex5bc7fcdc101

6307156181249 has 64 divisors (see below), whose sum is σ = 8332397199360. Its totient is φ = 4630427182080.

The previous prime is 6307156181237. The next prime is 6307156181267. The reversal of 6307156181249 is 9421816517036.

It is not a de Polignac number, because 6307156181249 - 28 = 6307156180993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6307156181249.

It is not an unprimeable number, because it can be changed into a prime (6307156181449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35279324 + ... + 35457650.

It is an arithmetic number, because the mean of its divisors is an integer number (130193706240).

It is a 1-persistent number, because it is pandigital, but 2⋅6307156181249 = 12614312362498 is not.

Almost surely, 26307156181249 is an apocalyptic number.

It is an amenable number.

6307156181249 is a deficient number, since it is larger than the sum of its proper divisors (2025241018111).

6307156181249 is a wasteful number, since it uses less digits than its factorization.

6307156181249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178758.

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 6307156181249 in words is "six trillion, three hundred seven billion, one hundred fifty-six million, one hundred eighty-one thousand, two hundred forty-nine".

Divisors: 1 7 11 29 47 77 203 319 329 337 517 1363 2233 2359 3619 3707 9541 9773 14993 15839 25949 68411 104951 107503 110873 174229 178327 459331 752521 1219603 1248289 1961597 3215317 5052641 5171483 8381369 13731179 35368487 36200381 56886313 58669583 60096199 92195059 243059701 398204191 420673393 645365413 661058189 1701417907 1742789771 2673656711 2824521353 4627407323 12199528397 18715596977 19170687481 19771649471 31069734883 81911119237 134194812367 217488144181 573377834659 901022311607 6307156181249