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21446433464412 = 223112293713765397
BaseRepresentation
bin1001110000001011000110…
…00011000110000001011100
32210221020222211012200200210
410320011203003012001130
510302334243431330122
6113340204443052420
74342311420430515
oct470054303060134
983836884180623
1021446433464412
116919421646400
1224a4567211110
13bc750ba96328
14542027639a0c
15272d0e6d940c
hex1381630c605c

21446433464412 has 144 divisors (see below), whose sum is σ = 58439070053280. Its totient is φ = 6105228433920.

The previous prime is 21446433464411. The next prime is 21446433464429.

21446433464412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21446433464411) 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 47 ways as a sum of consecutive naturals, for example, 5324703 + ... + 8440694.

It is an arithmetic number, because the mean of its divisors is an integer number (405826875370).

Almost surely, 221446433464412 is an apocalyptic number.

21446433464412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21446433464412 is an abundant number, since it is smaller than the sum of its proper divisors (36992636588868).

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

21446433464412 is a wasteful number, since it uses less digits than its factorization.

21446433464412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765492 (or 13765479 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 21446433464412 in words is "twenty-one trillion, four hundred forty-six billion, four hundred thirty-three million, four hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 37 44 58 66 74 87 111 116 121 132 148 174 222 242 319 348 363 407 444 484 638 726 814 957 1073 1221 1276 1452 1628 1914 2146 2442 3219 3509 3828 4292 4477 4884 6438 7018 8954 10527 11803 12876 13431 14036 17908 21054 23606 26862 35409 42108 47212 53724 70818 129833 141636 259666 389499 519332 778998 1557996 13765397 27530794 41296191 55061588 82592382 151419367 165184764 302838734 399196513 454258101 509319689 605677468 798393026 908516202 1018639378 1197589539 1527959067 1596786052 1665613037 1817032404 2037278756 2395179078 3055918134 3331226074 4391161643 4790358156 4996839111 5602516579 6111836268 6662452148 8782323286 9993678222 11205033158 13173484929 14770270981 16807549737 17564646572 19987356444 22410066316 26346969858 29540541962 33615099474 44310812943 48302778073 52693939716 59081083924 61627682369 67230198948 88621625886 96605556146 123255364738 144908334219 162472980791 177243251772 184883047107 193211112292 246510729476 289816668438 324945961582 369766094214 487418942373 579633336876 649891923164 739532188428 974837884746 1787202788701 1949675769492 3574405577402 5361608366103 7148811154804 10723216732206 21446433464412