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428778802848 = 25311406040533
BaseRepresentation
bin1100011110101010011…
…01010100111010100000
31111222202022222000210210
412033111031110322200
524011114333142343
6524551145454120
742656352455214
oct6172515247240
91458668860723
10428778802848
11155931501990
126b1251a1340
13315839c9976
1416a78360944
15b2481eb333
hex63d5354ea0

428778802848 has 48 divisors (see below), whose sum is σ = 1227866574816. Its totient is φ = 129932970240.

The previous prime is 428778802819. The next prime is 428778802867. The reversal of 428778802848 is 848208877824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4287788028482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203019211 + ... + 203021322.

It is an arithmetic number, because the mean of its divisors is an integer number (25580553642).

Almost surely, 2428778802848 is an apocalyptic number.

428778802848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428778802848 is an abundant number, since it is smaller than the sum of its proper divisors (799087771968).

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

428778802848 is a wasteful number, since it uses less digits than its factorization.

428778802848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406040557 (or 406040549 counting only the distinct ones).

The product of its (nonzero) digits is 102760448, while the sum is 66.

The spelling of 428778802848 in words is "four hundred twenty-eight billion, seven hundred seventy-eight million, eight hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 406040533 812081066 1218121599 1624162132 2436243198 3248324264 4466445863 4872486396 6496648528 8932891726 9744972792 12993297056 13399337589 17865783452 19489945584 26798675178 35731566904 38979891168 53597350356 71463133808 107194700712 142926267616 214389401424 428778802848