Search a number
-
+
21234514608 = 24331910325117
BaseRepresentation
bin10011110001101011…
…001111101010110000
32000210212111002221000
4103301223033222300
5321442013431413
613431025202000
71351132252566
oct236153175260
960725432830
1021234514608
11900736a12a
124147490300
132005394c58
14105623ba36
15844323073
hex4f1acfab0

21234514608 has 160 divisors (see below), whose sum is σ = 64784345600. Its totient is φ = 6640268544.

The previous prime is 21234514591. The next prime is 21234514621. The reversal of 21234514608 is 80641543212.

It is a happy number.

21234514608 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 45 + 1 + 4 + 608 = 666.

It is a super-2 number, since 2×212345146082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 832866 + ... + 857982.

It is an arithmetic number, because the mean of its divisors is an integer number (404902160).

Almost surely, 221234514608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21234514608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32392172800).

21234514608 is an abundant number, since it is smaller than the sum of its proper divisors (43549830992).

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

21234514608 is a wasteful number, since it uses less digits than its factorization.

21234514608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25256 (or 25244 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21234514608 in words is "twenty-one billion, two hundred thirty-four million, five hundred fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 103 108 114 144 152 171 206 216 228 304 309 342 412 432 456 513 618 684 824 912 927 1026 1236 1368 1648 1854 1957 2052 2472 2736 2781 3708 3914 4104 4944 5562 5871 7416 7828 8208 11124 11742 14832 15656 17613 22248 23484 25117 31312 35226 44496 46968 50234 52839 70452 75351 93936 100468 105678 140904 150702 200936 211356 226053 281808 301404 401872 422712 452106 477223 602808 678159 845424 904212 954446 1205616 1356318 1431669 1808424 1908892 2587051 2712636 2863338 3616848 3817784 4295007 5174102 5425272 5726676 7635568 7761153 8590014 10348204 10850544 11453352 12885021 15522306 17180028 20696408 22906704 23283459 25770042 31044612 34360056 41392816 46566918 49153969 51540084 62089224 68720112 69850377 93133836 98307938 103080168 124178448 139700754 147461907 186267672 196615876 206160336 279401508 294923814 372535344 393231752 442385721 558803016 589847628 786463504 884771442 1117606032 1179695256 1327157163 1769542884 2359390512 2654314326 3539085768 5308628652 7078171536 10617257304 21234514608