Search a number
-
+
75057930305603 = 74311327117834567
BaseRepresentation
bin10001000100001111001001…
…010001100000000001000011
3100211202110122012211022222222
4101010033021101200001003
534314222120124234403
6423345045343321255
721544520324616350
oct2104171121400103
9324673565738888
1075057930305603
1121a089869a0703
128502890bb022b
1332b5c177bb3bb
141476b74c63627
158a2667ddc338
hex4443c9460043

75057930305603 has 64 divisors (see below), whose sum is σ = 88948241006592. Its totient is φ = 62004889013760.

The previous prime is 75057930305563. The next prime is 75057930305629. The reversal of 75057930305603 is 30650303975057.

It is a Cunningham number, because it is equal to 86635982-1.

It is not a de Polignac number, because 75057930305603 - 212 = 75057930301507 is a prime.

It is a super-3 number, since 3×750579303056033 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75057930305653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16434841226 + ... + 16434845792.

It is an arithmetic number, because the mean of its divisors is an integer number (1389816265728).

Almost surely, 275057930305603 is an apocalyptic number.

75057930305603 is a deficient number, since it is larger than the sum of its proper divisors (13890310700989).

75057930305603 is a wasteful number, since it uses less digits than its factorization.

75057930305603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784.

The product of its (nonzero) digits is 8930250, while the sum is 53.

The spelling of 75057930305603 in words is "seventy-five trillion, fifty-seven billion, nine hundred thirty million, three hundred five thousand, six hundred three".

Divisors: 1 7 43 113 271 301 791 1783 1897 4567 4859 11653 12481 30623 31969 34013 76669 81571 196381 201479 214361 483193 516071 536683 1237657 1316789 1374667 1410353 3382351 3612497 8142961 8663597 8663599 9217523 20777299 22191053 53219251 54600809 57000727 60645179 139855241 145441093 155337371 350147323 372534757 382205663 920154593 978986687 2206742431 2347834787 2451031261 6013775363 6441082151 15447197017 16434843509 39566647499 42096427541 94889924533 249361894703 276966532493 664229471731 1745533262921 10722561472229 75057930305603