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21919410870434 = 271133137945571
BaseRepresentation
bin1001111101111100000101…
…01100101101100010100010
32212121110211102122101210022
410332332002230231202202
510333111423140323214
6114341345514233442
74421424302152310
oct476760254554242
985543742571708
1021919410870434
116a90a73aa9000
122560166425882
13c2ccb765250c
1455ac95a190b0
15280292cc2d8e
hex13ef82b2d8a2

21919410870434 has 64 divisors (see below), whose sum is σ = 42664179769344. Its totient is φ = 8264545146000.

The previous prime is 21919410870431. The next prime is 21919410870473. The reversal of 21919410870434 is 43407801491912.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21919410870431) 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 31 ways as a sum of consecutive naturals, for example, 18395132 + ... + 19550439.

It is an arithmetic number, because the mean of its divisors is an integer number (666627808896).

Almost surely, 221919410870434 is an apocalyptic number.

21919410870434 is a deficient number, since it is larger than the sum of its proper divisors (20744768898910).

21919410870434 is a wasteful number, since it uses less digits than its factorization.

21919410870434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37945644 (or 37945622 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 21919410870434 in words is "twenty-one trillion, nine hundred nineteen billion, four hundred ten million, eight hundred seventy thousand, four hundred thirty-four".

Divisors: 1 2 7 11 14 22 31 62 77 121 154 217 242 341 434 682 847 1331 1694 2387 2662 3751 4774 7502 9317 18634 26257 41261 52514 82522 288827 577654 37945571 75891142 265618997 417401281 531237994 834802562 1176312701 2352625402 2921808967 4591414091 5843617934 8234188907 9182828182 12939439711 16468377814 25878879422 32139898637 50505555001 64279797274 90576077977 101011110002 142333836821 181152155954 284667673642 353538885007 707077770014 996336857747 1565672205031 1992673715494 3131344410062 10959705435217 21919410870434