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21454466445412 = 227211133672085737
BaseRepresentation
bin1001110000011010000011…
…10110011111000001100100
32210222000201122200102000121
410320031001312133001210
510303002221402223122
6113344013521451324
74343014451563300
oct470150166370144
983860648612017
1021454466445412
116921873a9a980
1224a60294a0b44
13bc81bc0b6220
1454258a44ad00
1527312ea4bbc7
hex138341d9f064

21454466445412 has 144 divisors (see below), whose sum is σ = 51450517778688. Its totient is φ = 7694864110080.

The previous prime is 21454466445397. The next prime is 21454466445421.

21454466445412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 21454466445412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9243408 + ... + 11329144.

It is an arithmetic number, because the mean of its divisors is an integer number (357295262352).

Almost surely, 221454466445412 is an apocalyptic number.

21454466445412 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 21454466445412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725258889344).

21454466445412 is an abundant number, since it is smaller than the sum of its proper divisors (29996051333276).

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

21454466445412 is a wasteful number, since it uses less digits than its factorization.

21454466445412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086146 (or 2086137 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 52.

The spelling of 21454466445412 in words is "twenty-one trillion, four hundred fifty-four billion, four hundred sixty-six million, four hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 367 539 572 637 734 1001 1078 1274 1468 2002 2156 2548 2569 4004 4037 4771 5138 7007 8074 9542 10276 14014 16148 17983 19084 28028 28259 33397 35966 52481 56518 66794 71932 104962 113036 133588 197813 209924 233779 367367 395626 467558 734734 791252 935116 1469468 2085737 2571569 4171474 5143138 8342948 10286276 14600159 22943107 27114581 29200318 45886214 54229162 58400636 91772428 102201113 108458324 160601749 189802067 204402226 298260391 321203498 379604134 408804452 596520782 642406996 759208268 765465479 1124212243 1193041564 1328614469 1530930958 2087822737 2248424486 2657228938 3061861916 4175645474 4496848972 5314457876 5358258353 8351290948 8420120269 9951051227 10716516706 14614759159 16840240538 19902102454 21433033412 29229518318 33680481076 37507808471 39804204908 58459036636 58940841883 69657358589 75015616942 109461563497 117881683766 139314717178 150031233884 218923126994 235763367532 278629434356 412585893181 437846253988 487601510123 766230944479 825171786362 975203020246 1532461888958 1650343572724 1950406040492 3064923777916 5363616611353 10727233222706 21454466445412