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11684345856 = 21131901749
BaseRepresentation
bin10101110000111000…
…01111100000000000
31010011022011021021020
422320130033200000
5142412143031411
65211232025440
7562356205161
oct127034174000
933138137236
1011684345856
114a56565a87
122321092280
131142945721
147cbb31768
15485bbd606
hex2b870f800

11684345856 has 48 divisors (see below), whose sum is σ = 31150665000. Its totient is φ = 3894779904.

The previous prime is 11684345843. The next prime is 11684345867. The reversal of 11684345856 is 65854348611.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11684345799 and 11684345808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 944731 + ... + 957018.

Almost surely, 211684345856 is an apocalyptic number.

11684345856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11684345856 is an abundant number, since it is smaller than the sum of its proper divisors (19466319144).

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

11684345856 is an equidigital number, since it uses as much as digits as its factorization.

11684345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901774 (or 1901754 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 11684345856 in words is "eleven billion, six hundred eighty-four million, three hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 1901749 3803498 5705247 7606996 11410494 15213992 22820988 30427984 45641976 60855968 91283952 121711936 182567904 243423872 365135808 486847744 730271616 973695488 1460543232 1947390976 2921086464 3894781952 5842172928 11684345856