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4414921803864 = 23321113232984593
BaseRepresentation
bin100000000111110110111…
…0110001000100001011000
3120122001200111021020200100
41000033231312020201120
51034313224440210424
613220104224135400
7633652610102355
oct100175566104130
916561614236610
104414921803864
1114523a3297080
125b3784467560
1326042ca04800
1411397d1ad62c
1579c978bddc9
hex403edd88858

4414921803864 has 144 divisors (see below), whose sum is σ = 14124662842680. Its totient is φ = 1234943124480.

The previous prime is 4414921803847. The next prime is 4414921803871. The reversal of 4414921803864 is 4683081294144.

4414921803864 is a `hidden beast` number, since 4 + 4 + 1 + 49 + 218 + 0 + 386 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4414921803864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16358449 + ... + 16626144.

Almost surely, 24414921803864 is an apocalyptic number.

4414921803864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4414921803864 is an abundant number, since it is smaller than the sum of its proper divisors (9709741038816).

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

4414921803864 is a wasteful number, since it uses less digits than its factorization.

4414921803864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32984642 (or 32984622 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4414921803864 in words is "four trillion, four hundred fourteen billion, nine hundred twenty-one million, eight hundred three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 169 198 234 264 286 312 338 396 429 468 507 572 676 792 858 936 1014 1144 1287 1352 1521 1716 1859 2028 2574 3042 3432 3718 4056 5148 5577 6084 7436 10296 11154 12168 14872 16731 22308 33462 44616 66924 133848 32984593 65969186 98953779 131938372 197907558 263876744 296861337 362830523 395815116 428799709 593722674 725661046 791630232 857599418 1088491569 1187445348 1286399127 1451322092 1715198836 2176983138 2374890696 2572798254 2902644184 3265474707 3430397672 3859197381 4353966276 4716796799 5145596508 5574396217 6530949414 7718394762 8707932552 9433593598 10291193016 11148792434 13061898828 14150390397 15436789524 16723188651 18867187196 22297584868 26123797656 28300780794 30873579048 33446377302 37734374392 42451171191 44595169736 50169565953 56601561588 61318358387 66892754604 84902342382 100339131906 113203123176 122636716774 133785509208 169804684764 183955075161 200678263812 245273433548 339609369528 367910150322 401356527624 490546867096 551865225483 735820300644 1103730450966 1471640601288 2207460901932 4414921803864