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21581480466 = 23271317376159
BaseRepresentation
bin10100000110010110…
…110100001000010010
32001201001100210121100
4110012112310020102
5323144324333331
613525302005230
71362544362060
oct240626641022
961631323540
1021581480466
119175201777
124223716816
13205c2280b0
14108a359030
15864a0cae6
hex5065b4212

21581480466 has 96 divisors (see below), whose sum is σ = 57884037120. Its totient is φ = 5658844032.

The previous prime is 21581480441. The next prime is 21581480491. The reversal of 21581480466 is 66408418512.

It is a happy number.

21581480466 is a `hidden beast` number, since 2 + 1 + 581 + 4 + 8 + 0 + 4 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (21581480441) and next prime (21581480491).

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 47 ways as a sum of consecutive naturals, for example, 245295 + ... + 321453.

It is an arithmetic number, because the mean of its divisors is an integer number (602958720).

Almost surely, 221581480466 is an apocalyptic number.

21581480466 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21581480466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28942018560).

21581480466 is an abundant number, since it is smaller than the sum of its proper divisors (36302556654).

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

21581480466 is a wasteful number, since it uses less digits than its factorization.

21581480466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76360 (or 76357 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 21581480466 its reverse (66408418512), we get a palindrome (87989898978).

The spelling of 21581480466 in words is "twenty-one billion, five hundred eighty-one million, four hundred eighty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 173 182 234 273 346 519 546 819 1038 1211 1557 1638 2249 2422 3114 3633 4498 6747 7266 10899 13494 15743 20241 21798 31486 40482 47229 76159 94458 141687 152318 228477 283374 456954 533113 685431 990067 1066226 1370862 1599339 1980134 2970201 3198678 4798017 5940402 6930469 8910603 9596034 13175507 13860938 17821206 20791407 26351014 39526521 41582814 62374221 79053042 92228549 118579563 124748442 171281591 184457098 237159126 276685647 342563182 513844773 553371294 830056941 1027689546 1198971137 1541534319 1660113882 2397942274 3083068638 3596913411 7193826822 10790740233 21581480466