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21041463104 = 263779711149
BaseRepresentation
bin10011100110001010…
…110011111101000000
32000022102020002001022
4103212022303331000
5321043103304404
613355531325012
71343266325324
oct234612637500
960272202038
1021041463104
118a183a2732
1240b28b0768
131ca43a15ac
141038747984
158323dc8be
hex4e62b3f40

21041463104 has 56 divisors (see below), whose sum is σ = 42940300200. Its totient is φ = 10222626816.

The previous prime is 21041463103. The next prime is 21041463127. The reversal of 21041463104 is 40136414012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5052366400 + 15989096704 = 71080^2 + 126448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21041463103) 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 7 ways as a sum of consecutive naturals, for example, 1881722 + ... + 1892870.

It is an arithmetic number, because the mean of its divisors is an integer number (766791075).

Almost surely, 221041463104 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 21041463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21470150100).

21041463104 is an abundant number, since it is smaller than the sum of its proper divisors (21898837096).

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

21041463104 is a wasteful number, since it uses less digits than its factorization.

21041463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 21041463104 its reverse (40136414012), we get a palindrome (61177877116).

The spelling of 21041463104 in words is "twenty-one billion, forty-one million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 797 1184 1594 2368 3188 6376 11149 12752 22298 25504 29489 44596 51008 58978 89192 117956 178384 235912 356768 412513 471824 713536 825026 943648 1650052 1887296 3300104 6600208 8885753 13200416 17771506 26400832 35543012 71086024 142172048 284344096 328772861 568688192 657545722 1315091444 2630182888 5260365776 10520731552 21041463104