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21185384704 = 281128272
BaseRepresentation
bin10011101110101111…
…110101000100000000
32000200110001001100221
4103232233311010000
5321341424302304
613422112152424
71346664540661
oct235657650400
960613031327
1021185384704
118a91663100
124132b38714
131cc81528c3
14104d8cd368
1583ed6b054
hex4eebf5100

21185384704 has 81 divisors (see below), whose sum is σ = 46538139991. Its totient is φ = 9618076160.

The previous prime is 21185384699. The next prime is 21185384707. The reversal of 21185384704 is 40748358112.

The square root of 21185384704 is 145552.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21185384707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25616739 + ... + 25617565.

Almost surely, 221185384704 is an apocalyptic number.

21185384704 is the 145552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21185384704

21185384704 is an abundant number, since it is smaller than the sum of its proper divisors (25352755287).

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

21185384704 is an frugal number, since it uses more digits than its factorization.

21185384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 21185384704 in words is "twenty-one billion, one hundred eighty-five million, three hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 827 968 1408 1654 1936 2816 3308 3872 6616 7744 9097 13232 15488 18194 26464 30976 36388 52928 72776 100067 105856 145552 200134 211712 291104 400268 582208 683929 800536 1164416 1367858 1601072 2328832 2735716 3202144 5471432 6404288 7523219 10942864 12808576 15046438 21885728 25617152 30092876 43771456 60185752 82755409 87542912 120371504 165510818 175085824 240743008 331021636 481486016 662043272 962972032 1324086544 1925944064 2648173088 5296346176 10592692352 21185384704