Search a number
-
+
30185615475 = 32521634571801
BaseRepresentation
bin11100000111001100…
…111111000001110011
32212220200120010221100
4130013030333001303
5443310004143400
621511142255443
72116012332561
oct340714770163
985820503840
1030185615475
111188aaa1754
125a25127583
132b00983c42
141664d64a31
15bba091100
hex70733f073

30185615475 has 72 divisors (see below), whose sum is σ = 54546785072. Its totient is φ = 15956352000.

The previous prime is 30185615441. The next prime is 30185615477. The reversal of 30185615475 is 57451658103.

30185615475 is a `hidden beast` number, since 3 + 0 + 18 + 561 + 5 + 4 + 75 = 666.

It is not a de Polignac number, because 30185615475 - 216 = 30185549939 is a prime.

It is a super-2 number, since 2×301856154752 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30185615475.

It is not an unprimeable number, because it can be changed into a prime (30185615477) 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 71 ways as a sum of consecutive naturals, for example, 16759575 + ... + 16761375.

Almost surely, 230185615475 is an apocalyptic number.

30185615475 is a deficient number, since it is larger than the sum of its proper divisors (24361169597).

30185615475 is a wasteful number, since it uses less digits than its factorization.

30185615475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 30185615475 in words is "thirty billion, one hundred eighty-five million, six hundred fifteen thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 163 225 457 489 815 1371 1467 1801 2285 2445 4075 4113 5403 6855 7335 9005 11425 12225 16209 20565 27015 34275 36675 45025 74491 81045 102825 135075 223473 293563 372455 405225 670419 823057 880689 1117365 1467815 1862275 2469171 2642067 3352095 4115285 4403445 5586825 7339075 7407513 12345855 13210335 16760475 20576425 22017225 37037565 61729275 66051675 134158291 185187825 402474873 670791455 1207424619 2012374365 3353957275 6037123095 10061871825 30185615475