Search a number
-
+
75925000369 = 19293743257337
BaseRepresentation
bin100011010110101111…
…0111001000010110001
321020222100021122101201
41012231132321002301
52220443300002434
654513544131201
75325330566131
oct1065536710261
9236870248351
1075925000369
112a221757599
121286b166b01
13720cb1402a
1439638a0ac1
151e95881614
hex11ad7b90b1

75925000369 has 64 divisors (see below), whose sum is σ = 87483052800. Its totient is φ = 65548320768.

The previous prime is 75925000343. The next prime is 75925000373. The reversal of 75925000369 is 96300052957.

It is a happy number.

It is a 5-Lehmer number, since φ(75925000369) divides (75925000369-1)5.

It is a cyclic number.

It is not a de Polignac number, because 75925000369 - 25 = 75925000337 is a prime.

It is a super-2 number, since 2×759250003692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75925000339) 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 63 ways as a sum of consecutive naturals, for example, 225296569 + ... + 225296905.

It is an arithmetic number, because the mean of its divisors is an integer number (1366922700).

It is a Poulet number, since it divides 275925000368-1.

Almost surely, 275925000369 is an apocalyptic number.

It is an amenable number.

75925000369 is a deficient number, since it is larger than the sum of its proper divisors (11558052431).

75925000369 is a wasteful number, since it uses less digits than its factorization.

75925000369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722.

The product of its (nonzero) digits is 510300, while the sum is 46.

The spelling of 75925000369 in words is "seventy-five billion, nine hundred twenty-five million, three hundred sixty-nine", and thus it is an aban number.

Divisors: 1 19 29 37 43 257 337 551 703 817 1073 1247 1591 4883 6403 7453 9509 9773 11051 12469 14491 20387 23693 30229 46139 86609 141607 180671 185687 209969 236911 275329 275761 320479 361601 408887 420239 536167 876641 1645571 2511661 3204533 3724187 5239459 6089101 6870419 7768853 7984541 10187173 11857723 15548843 47721559 60886127 70759553 92931457 108001423 137794919 225296737 295428017 1765697683 2052027037 2618103461 3996052651 75925000369