Search a number
-
+
30256332361605 = 32572171317161283
BaseRepresentation
bin1101110000100100110011…
…11100010100111110000101
310222010110212211020220200200
412320102121330110332011
512431204432041032410
6144203322303201113
76241643056456500
oct670223174247605
9128113784226620
1030256332361605
1197057029232a9
123487a685a6199
1313b62103b586c
147685b2ba6137
153770839cd3c0
hex1b8499f14f85

30256332361605 has 144 divisors (see below), whose sum is σ = 64601230359744. Its totient is φ = 13016649784320.

The previous prime is 30256332361583. The next prime is 30256332361609. The reversal of 30256332361605 is 50616323365203.

It is a happy number.

30256332361605 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 6 + 3 + 3 + 2 + 36 + 1 + 605 = 666.

It is not a de Polignac number, because 30256332361605 - 25 = 30256332361573 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30256332361609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 493684294 + ... + 493745576.

It is an arithmetic number, because the mean of its divisors is an integer number (448619655276).

Almost surely, 230256332361605 is an apocalyptic number.

30256332361605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30256332361605 is an abundant number, since it is smaller than the sum of its proper divisors (34344897998139).

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

30256332361605 is a wasteful number, since it uses less digits than its factorization.

30256332361605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74496 (or 74486 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 30256332361605 in words is "thirty trillion, two hundred fifty-six billion, three hundred thirty-two million, three hundred sixty-one thousand, six hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 357 441 595 735 765 833 1071 1785 2205 2499 4165 5355 7497 12495 13171 37485 39513 61283 65855 92197 118539 183849 197565 223907 276591 306415 428981 460985 551547 592695 645379 671721 829773 919245 1041811 1119535 1286943 1382955 1567349 1936137 2015163 2144905 2757735 3002867 3125433 3226895 3358605 3860829 4148865 4702047 5209055 5808411 6434715 7292677 7836745 9008601 9376299 9680685 10075815 10971443 14106141 15014335 15627165 19304145 21878031 23510235 27025803 29042055 32914329 36463385 45043005 46881495 51048739 54857215 65634093 70530705 98742987 109390155 135129015 153146217 164571645 255243695 328170465 459438651 493714935 765731085 807158393 2297193255 2421475179 4035791965 5650108751 7264425537 12107375895 13721692681 16950326253 28250543755 36322127685 39550761257 41165078043 50850978759 68608463405 84751631265 96051848767 118652283771 123495234129 197753806285 205825390215 254254893795 288155546301 355956851313 480259243835 593261418855 617476170645 672362941369 864466638903 1440777731505 1779784256565 2017088824107 3361814706845 4322333194515 6051266472321 10085444120535 30256332361605