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4221797379408 = 243372199442431
BaseRepresentation
bin111101011011110110101…
…110111010110101010000
3112221121012022120222201000
4331123312232322311100
51023132220112120113
612551244505342000
7614005034425200
oct75336656726520
915847168528630
104221797379408
1113884aa616614
12582267497900
13248162ca583b
1410849c2da400
1574c42d87373
hex3d6f6bbad50

4221797379408 has 120 divisors (see below), whose sum is σ = 14096591093760. Its totient is φ = 1206227816640.

The previous prime is 4221797379383. The next prime is 4221797379439. The reversal of 4221797379408 is 8049737971224.

4221797379408 is a `hidden beast` number, since 4 + 2 + 21 + 79 + 73 + 79 + 408 = 666.

It is a super-2 number, since 2×42217973794082 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99700048 + ... + 99742383.

It is an arithmetic number, because the mean of its divisors is an integer number (117471592448).

Almost surely, 24221797379408 is an apocalyptic number.

4221797379408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4221797379408 is an abundant number, since it is smaller than the sum of its proper divisors (9874793714352).

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

4221797379408 is a wasteful number, since it uses less digits than its factorization.

4221797379408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199442462 (or 199442443 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 4221797379408 in words is "four trillion, two hundred twenty-one billion, seven hundred ninety-seven million, three hundred seventy-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 199442431 398884862 598327293 797769724 1196654586 1396097017 1595539448 1794981879 2393309172 2792194034 3191078896 3589963758 4188291051 4786618344 5384945637 5584388068 7179927516 8376582102 9573236688 9772679119 10769891274 11168776136 12564873153 14359855032 16753164204 19545358238 21539782548 22337552272 25129746306 28719710064 29318037357 33506328408 37694619459 39090716476 43079565096 50259492612 58636074714 67012656816 75389238918 78181432952 86159130192 87954112071 100518985224 117272149428 150778477836 156362865904 175908224142 201037970448 234544298856 263862336213 301556955672 351816448284 469088597712 527724672426 603113911344 703632896568 1055449344852 1407265793136 2110898689704 4221797379408