Search a number
-
+
21301478496 = 253441200443
BaseRepresentation
bin10011110101101010…
…101100010001100000
32000222112111020010000
4103311222230101200
5322111134302441
613441420340000
71352604402564
oct236552542140
960875436100
1021301478496
119041147091
1241659a4600
13201620c85c
1410610ad6a4
1584a14e2b6
hex4f5aac460

21301478496 has 120 divisors (see below), whose sum is σ = 64175353704. Its totient is φ = 6927275520.

The previous prime is 21301478491. The next prime is 21301478563. The reversal of 21301478496 is 69487410312.

21301478496 is a `hidden beast` number, since 2 + 13 + 0 + 147 + 8 + 496 = 666.

It is a super-2 number, since 2×213014784962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301478491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6051 + ... + 206493.

Almost surely, 221301478496 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 21301478496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32087676852).

21301478496 is an abundant number, since it is smaller than the sum of its proper divisors (42873875208).

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

21301478496 is a wasteful number, since it uses less digits than its factorization.

21301478496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200506 (or 200489 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21301478496 in words is "twenty-one billion, three hundred one million, four hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1968 2214 2592 2952 3321 3936 4428 5904 6642 8856 11808 13284 17712 26568 35424 53136 106272 200443 400886 601329 801772 1202658 1603544 1803987 2405316 3207088 3607974 4810632 5411961 6414176 7215948 8218163 9621264 10823922 14431896 16235883 16436326 19242528 21647844 24654489 28863792 32471766 32872652 43295688 49308978 57727584 64943532 65745304 73963467 86591376 98617956 129887064 131490608 147926934 173182752 197235912 221890401 259774128 262981216 295853868 394471824 443780802 519548256 591707736 665671203 788943648 887561604 1183415472 1331342406 1775123208 2366830944 2662684812 3550246416 5325369624 7100492832 10650739248 21301478496