Search a number
-
+
75420711075 = 35229433112593
BaseRepresentation
bin100011000111101101…
…1001011100010100011
321012200012101002112110
41012033123023202203
52213430200223300
654351531330403
75306665316013
oct1061733134243
9235605332473
1075420711075
1129a93030586
121274a2b0a03
13715c4b97b8
14391690dc43
151e6646c550
hex118f6cb8a3

75420711075 has 96 divisors (see below), whose sum is σ = 132470807040. Its totient is φ = 37797580800.

The previous prime is 75420711059. The next prime is 75420711101. The reversal of 75420711075 is 57011702457.

It is a happy number.

It is not a de Polignac number, because 75420711075 - 24 = 75420711059 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29084979 + ... + 29087571.

It is an arithmetic number, because the mean of its divisors is an integer number (1379904240).

Almost surely, 275420711075 is an apocalyptic number.

75420711075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75420711075 is a deficient number, since it is larger than the sum of its proper divisors (57050095965).

75420711075 is a wasteful number, since it uses less digits than its factorization.

75420711075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 39.

The spelling of 75420711075 in words is "seventy-five billion, four hundred twenty million, seven hundred eleven thousand, seventy-five".

Divisors: 1 3 5 15 25 29 43 75 87 129 145 215 311 435 645 725 933 1075 1247 1555 2175 2593 3225 3741 4665 6235 7775 7779 9019 12965 13373 18705 23325 27057 31175 38895 40119 45095 64825 66865 75197 93525 111499 135285 194475 200595 225475 225591 334325 334497 375985 387817 557495 676425 806423 1002975 1127955 1163451 1672485 1879925 1939085 2419269 2787475 3233471 4032115 5639775 5817255 8362425 9695425 9700413 12096345 16167355 20160575 23386267 29086275 34676189 48502065 60481725 70158801 80836775 104028567 116931335 173380945 242510325 350794005 520142835 584656675 866904725 1005609481 1753970025 2600714175 3016828443 5028047405 15084142215 25140237025 75420711075