Search a number
-
+
103200546664 = 231741471392833
BaseRepresentation
bin110000000011100111…
…0110101111101101000
3100212101020000221220001
41200013032311331220
53142323314443124
6115224253512344
710312256113225
oct1400716657550
9325336027801
10103200546664
113a849022196
12180017a26b4
139968910037
144dd014c94c
152a401e4b44
hex18073b5f68

103200546664 has 128 divisors (see below), whose sum is σ = 215964403200. Its totient is φ = 46022492160.

The previous prime is 103200546653. The next prime is 103200546667. The reversal of 103200546664 is 466645002301.

It is not an unprimeable number, because it can be changed into a prime (103200546667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36426592 + ... + 36429424.

It is an arithmetic number, because the mean of its divisors is an integer number (1687221900).

Almost surely, 2103200546664 is an apocalyptic number.

It is an amenable number.

103200546664 is an abundant number, since it is smaller than the sum of its proper divisors (112763856536).

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

103200546664 is a wasteful number, since it uses less digits than its factorization.

103200546664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 103200546664 its reverse (466645002301), we get a palindrome (569845548965).

The spelling of 103200546664 in words is "one hundred three billion, two hundred million, five hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 17 34 41 47 68 82 94 136 139 164 188 278 328 376 556 697 799 1112 1394 1598 1927 2363 2788 2833 3196 3854 4726 5576 5666 5699 6392 6533 7708 9452 11332 11398 13066 15416 18904 22664 22796 26132 32759 45592 48161 52264 65518 96322 96883 111061 116153 131036 133151 192644 193766 222122 232306 262072 266302 267853 385288 387532 393787 444244 464612 532604 535706 775064 787574 888488 929224 1065208 1071412 1575148 1974601 2142824 2263567 3150296 3949202 4527134 4553501 5459191 6694379 7898404 9054268 9107002 10918382 13388758 15796808 16145267 18108536 18214004 18507989 21836764 26777516 32290534 36428008 37015978 43673528 53555032 64581068 74031956 92806247 129162136 148063912 185612494 274469539 314635813 371224988 548939078 629271626 742449976 758827549 1097878156 1258543252 1517655098 2195756312 2517086504 3035310196 6070620392 12900068333 25800136666 51600273332 103200546664