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422461003776 = 211379822847
BaseRepresentation
bin1100010010111001010…
…00110101100000000000
31111101110000220120202120
412021130220311200000
523410200004110101
6522024221244240
742343656166020
oct6113450654000
91441400816676
10422461003776
1115318a24aa39
1269a61403680
1330ab7b40716
1416639267a80
15aec873ab36
hex625ca35800

422461003776 has 96 divisors (see below), whose sum is σ = 1287186001920. Its totient is φ = 120703131648.

The previous prime is 422461003763. The next prime is 422461003781. The reversal of 422461003776 is 677300164224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4224610037762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4868416 + ... + 4954431.

It is an arithmetic number, because the mean of its divisors is an integer number (13408187520).

Almost surely, 2422461003776 is an apocalyptic number.

It is an amenable number.

422461003776 is an abundant number, since it is smaller than the sum of its proper divisors (864724998144).

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

422461003776 is an equidigital number, since it uses as much as digits as its factorization.

422461003776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822879 (or 9822859 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 422461003776 in words is "four hundred twenty-two billion, four hundred sixty-one million, three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 9822847 19645694 29468541 39291388 58937082 68759929 78582776 117874164 137519858 157165552 206279787 235748328 275039716 314331104 412559574 471496656 550079432 628662208 825119148 942993312 1100158864 1257324416 1650238296 1885986624 2200317728 2514648832 3300476592 3771973248 4400635456 5029297664 6600953184 7543946496 8801270912 10058595328 13201906368 15087892992 17602541824 20117190656 26403812736 30175785984 35205083648 52807625472 60351571968 70410167296 105615250944 140820334592 211230501888 422461003776