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21530541134304 = 2532731024093471
BaseRepresentation
bin1001110010100111110000…
…10000011001000111100000
32211020022002102122000110200
410321103320100121013200
510310224022012244204
6113442554414225200
74351346611014216
oct471237020310740
984208072560420
1021530541134304
116951062196694
1224b891a7b5200
13c02423c1a437
14546125b54cb6
152750d35ea539
hex1394f84191e0

21530541134304 has 72 divisors (see below), whose sum is σ = 62066208964032. Its totient is φ = 7078534064640.

The previous prime is 21530541134293. The next prime is 21530541134321. The reversal of 21530541134304 is 40343114503512.

21530541134304 is a `hidden beast` number, since 2 + 1 + 5 + 305 + 4 + 1 + 1 + 343 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 512025712 + ... + 512067759.

It is an arithmetic number, because the mean of its divisors is an integer number (862030680056).

Almost surely, 221530541134304 is an apocalyptic number.

21530541134304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21530541134304 is an abundant number, since it is smaller than the sum of its proper divisors (40535667829728).

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

21530541134304 is a wasteful number, since it uses less digits than its factorization.

21530541134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024093560 (or 1024093549 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21530541134304 its reverse (40343114503512), we get a palindrome (61873655637816).

The spelling of 21530541134304 in words is "twenty-one trillion, five hundred thirty billion, five hundred forty-one million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 1024093471 2048186942 3072280413 4096373884 6144560826 8192747768 9216841239 12289121652 16385495536 18433682478 24578243304 32770991072 36867364956 49156486608 73734729912 74758823383 98312973216 147469459824 149517646766 224276470149 294938919648 299035293532 448552940298 598070587064 672829410447 897105880596 1196141174128 1345658820894 1794211761192 2392282348256 2691317641788 3588423522384 5382635283576 7176847044768 10765270567152 21530541134304