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21445533554412 = 223117122381102241
BaseRepresentation
bin1001110000001001011010…
…11010001101011011101100
32210221011200002212112020210
410320010231122031123230
510302330423042220122
6113335535254542420
74342250212345302
oct470045532153354
983834602775223
1021445533554412
116918aaa675730
1224a4355967a10
13bc73c75018c6
14541d7dd04272
15272caa6c940c
hex13812d68d6ec

21445533554412 has 96 divisors (see below), whose sum is σ = 55360499701248. Its totient is φ = 6406767360000.

The previous prime is 21445533554353. The next prime is 21445533554437.

It is a happy number.

21445533554412 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209703612 + ... + 209805852.

It is an arithmetic number, because the mean of its divisors is an integer number (576671871888).

Almost surely, 221445533554412 is an apocalyptic number.

21445533554412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21445533554412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27680249850624).

21445533554412 is an abundant number, since it is smaller than the sum of its proper divisors (33914966146836).

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

21445533554412 is a wasteful number, since it uses less digits than its factorization.

21445533554412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124711 (or 124709 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 2144553 and 3554412, that added together give a palindrome (5698965).

The spelling of 21445533554412 in words is "twenty-one trillion, four hundred forty-five billion, five hundred thirty-three million, five hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 22381 44762 67143 89524 102241 134286 204482 246191 268572 306723 408964 492382 613446 738573 984764 1124651 1226892 1477146 1589051 2249302 2954292 3178102 3373953 4498604 4767153 6356204 6747906 7259111 9534306 13495812 14518222 17479561 19068612 21777333 29036444 34959122 43554666 52438683 69918244 79850221 87109332 104877366 159700442 209754732 239550663 319400884 479101326 958202652 2288255821 4576511642 6864767463 9153023284 13729534926 25170814031 27459069852 50341628062 75512442093 100683256124 151024884186 162466163291 302049768372 324932326582 487398489873 649864653164 974796979746 1787127796201 1949593959492 3574255592402 5361383388603 7148511184804 10722766777206 21445533554412