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4246348484889 = 3672109032
BaseRepresentation
bin111101110010101110000…
…101111101000100011001
3120000221120022211101000000
4331302232011331010121
51024033010203004024
613010425013003213
7615534321403200
oct75625605750431
916027508741000
104246348484889
111397959021535
12586b79623509
1324a57650b5a4
1410974abd2237
15756cd438cc9
hex3dcae17d119

4246348484889 has 63 divisors (see below), whose sum is σ = 7406736186213. Its totient is φ = 2426262296472.

The previous prime is 4246348484837. The next prime is 4246348484891. The reversal of 4246348484889 is 9884848436424.

The square root of 4246348484889 is 2060667.

It is a perfect power (a square), and thus also a powerful number.

4246348484889 is a `hidden beast` number, since 4 + 2 + 4 + 63 + 4 + 8 + 484 + 8 + 89 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is a de Polignac number, because none of the positive numbers 2k-4246348484889 is a prime.

It is a super-2 number, since 2×42463484848892 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4246348485889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 389460612 + ... + 389471514.

It is an arithmetic number, because the mean of its divisors is an integer number (117567241051).

Almost surely, 24246348484889 is an apocalyptic number.

4246348484889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4246348484889 is the 2060667-th square number.

4246348484889 is the 1030334-th centered octagonal number.

It is an amenable number.

4246348484889 is a deficient number, since it is larger than the sum of its proper divisors (3160387701324).

4246348484889 is an frugal number, since it uses more digits than its factorization.

4246348484889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21838 (or 10913 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 72.

The spelling of 4246348484889 in words is "four trillion, two hundred forty-six billion, three hundred forty-eight million, four hundred eighty-four thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 10903 11907 32709 35721 76321 98127 228963 294381 534247 686889 883143 1602741 2060667 2649429 4808223 6182001 7948287 14424669 18546003 43274007 55638009 118875409 129822021 356626227 389466063 832127863 1069878681 2496383589 3209636043 5824895041 7489150767 9628908129 17474685123 22467452301 28886724387 52424055369 67402356903 86660173161 157272166107 202207070709 471816498321 606621212127 1415449494963 4246348484889