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21755421445068 = 223223131349574699
BaseRepresentation
bin1001111001001010101000…
…01010101100101111001100
32212000210112201121110000100
410330211110022230233030
510322420100342220233
6114134145211531100
74403530424064333
oct474452412545714
985023481543010
1021755421445068
116a28471274593
12253441a759a90
13c1a6b1a2748c
14552d7a344d1a
1527ad95e9d813
hex13c9542acbcc

21755421445068 has 144 divisors (see below), whose sum is σ = 57987689760000. Its totient is φ = 6863825105280.

The previous prime is 21755421445013. The next prime is 21755421445157. The reversal of 21755421445068 is 86054412455712.

21755421445068 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 542 + 1 + 44 + 50 + 6 + 8 = 666.

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, 37567983 + ... + 38142681.

It is an arithmetic number, because the mean of its divisors is an integer number (402692290000).

Almost surely, 221755421445068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21755421445068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28993844880000).

21755421445068 is an abundant number, since it is smaller than the sum of its proper divisors (36232268314932).

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

21755421445068 is a wasteful number, since it uses less digits than its factorization.

21755421445068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575212 (or 575207 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 21755421445068 in words is "twenty-one trillion, seven hundred fifty-five billion, four hundred twenty-one million, four hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 131 138 207 262 276 349 393 414 524 698 786 828 1047 1179 1396 1572 2094 2358 3013 3141 4188 4716 6026 6282 8027 9039 12052 12564 16054 18078 24081 27117 32108 36156 45719 48162 54234 72243 91438 96324 108468 137157 144486 182876 274314 288972 411471 548628 574699 822942 1051537 1149398 1645884 1724097 2103074 2298796 3154611 3448194 4206148 5172291 6309222 6896388 9463833 10344582 12618444 13218077 18927666 20689164 26436154 37855332 39654231 52872308 75285569 79308462 118962693 150571138 158616924 200569951 225856707 237925386 301142276 401139902 451713414 475850772 601709853 677570121 802279804 903426828 1203419706 1355140242 1731568087 1805129559 2406839412 2710280484 3463136174 3610259118 4613108873 5194704261 6926272348 7220518236 9226217746 10389408522 13839326619 15584112783 18452435492 20778817044 26274663581 27678653238 31168225566 41517979857 52549327162 55357306476 62336451132 78823990743 83035959714 105098654324 157647981486 166071919428 236471972229 315295962972 472943944458 604317262363 945887888916 1208634524726 1812951787089 2417269049452 3625903574178 5438855361267 7251807148356 10877710722534 21755421445068