Search a number
-
+
245316575406 = 237127157457641
BaseRepresentation
bin1110010001111000000…
…0011110000010101110
3212110012112102020101010
43210132000132002232
513004402020403111
6304410305330050
723503113325440
oct3443600360256
9773175366333
10245316575406
11950468a2011
123b664036926
131a1969b2836
14bc327da490
1565aba97aa6
hex391e01e0ae

245316575406 has 128 divisors (see below), whose sum is σ = 570872070144. Its totient is φ = 68836884480.

The previous prime is 245316575389. The next prime is 245316575407. The reversal of 245316575406 is 604575613542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245316575407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382708846 + ... + 382709486.

It is an arithmetic number, because the mean of its divisors is an integer number (4459938048).

Almost surely, 2245316575406 is an apocalyptic number.

245316575406 is an abundant number, since it is smaller than the sum of its proper divisors (325555494738).

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

245316575406 is a wasteful number, since it uses less digits than its factorization.

245316575406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 245316575406 in words is "two hundred forty-five billion, three hundred sixteen million, five hundred seventy-five thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 42 127 157 254 314 381 457 471 641 762 889 914 942 1099 1282 1371 1778 1923 2198 2667 2742 3199 3297 3846 4487 5334 6398 6594 8974 9597 13461 19194 19939 26922 39878 58039 59817 71749 81407 100637 116078 119634 139573 143498 162814 174117 201274 215247 244221 279146 292937 301911 348234 406273 418719 430494 488442 502243 569849 585874 603822 704459 812546 837438 878811 1004486 1139698 1218819 1408918 1506729 1709547 1757622 2050559 2113377 2437638 3013458 3419094 4101118 4226754 6151677 9112123 12303354 12780899 18224246 25561798 27336369 37202999 38342697 45991109 54672738 63784861 74405998 76685394 89466293 91982218 111608997 127569722 137973327 178932586 191354583 223217994 260420993 268398879 275946654 321937763 382709166 520841986 536797758 643875526 781262979 965813289 1562525958 1931626578 5840870843 11681741686 17522612529 35045225058 40886095901 81772191802 122658287703 245316575406