Search a number
-
+
21240253832 = 23721724332
BaseRepresentation
bin10011110010000001…
…001000110110001000
32000211021021200122212
4103302001020312020
5322000001110312
613431352204252
71351232115200
oct236201106610
960737250585
1021240253832
11900a62a096
124149399688
132006624345
141056cd3400
15844aa8822
hex4f2048d88

21240253832 has 108 divisors (see below), whose sum is σ = 49326968655. Its totient is φ = 8547710976.

The previous prime is 21240253829. The next prime is 21240253873. The reversal of 21240253832 is 23835204212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 7512382276 + 13727871556 = 86674^2 + 117166^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=103054.

It is a super-2 number, since 2×212402538322 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49053488 + ... + 49053920.

Almost surely, 221240253832 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 21240253832

21240253832 is an abundant number, since it is smaller than the sum of its proper divisors (28086714823).

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

21240253832 is an equidigital number, since it uses as much as digits as its factorization.

21240253832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Multiplying 21240253832 by its sum of digits (32), we get a square (679688122624 = 8244322).

The spelling of 21240253832 in words is "twenty-one billion, two hundred forty million, two hundred fifty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 289 392 433 476 578 833 866 952 1156 1666 1732 2023 2312 3031 3332 3464 4046 6062 6664 7361 8092 12124 14161 14722 16184 21217 24248 28322 29444 42434 51527 56644 58888 84868 103054 113288 125137 169736 187489 206108 250274 360689 374978 412216 500548 721378 749956 875959 1001096 1312423 1442756 1499912 1751918 2624846 2885512 3187313 3503836 5249692 6131713 6374626 7007672 9186961 10499384 12263426 12749252 18373922 22311191 24526852 25498504 36747844 44622382 49053704 54184321 73495688 89244764 108368642 156178337 178489528 216737284 312356674 379290247 433474568 624713348 758580494 1249426696 1517160988 2655031729 3034321976 5310063458 10620126916 21240253832