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21706906459 = 7219317310303
BaseRepresentation
bin10100001101110101…
…010001101101011011
32002000210101002201111
4110031311101231123
5323423432001314
613545542201151
71365626442400
oct241565215533
962023332644
1021706906459
119229a8a117
1242597231b7
13207c201964
14109cc882a7
15870a35ec4
hex50dd51b5b

21706906459 has 48 divisors (see below), whose sum is σ = 27815854080. Its totient is φ = 16822753920.

The previous prime is 21706906457. The next prime is 21706906517. The reversal of 21706906459 is 95460960712.

It is a happy number.

It is not a de Polignac number, because 21706906459 - 21 = 21706906457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (21706906451) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2101702 + ... + 2112004.

It is an arithmetic number, because the mean of its divisors is an integer number (579496960).

Almost surely, 221706906459 is an apocalyptic number.

21706906459 is a deficient number, since it is larger than the sum of its proper divisors (6108947621).

21706906459 is a wasteful number, since it uses less digits than its factorization.

21706906459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10440 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 21706906459 in words is "twenty-one billion, seven hundred six million, nine hundred six thousand, four hundred fifty-nine".

Divisors: 1 7 19 31 49 73 133 217 511 589 931 1387 1519 2263 3577 4123 9709 10303 15841 28861 42997 67963 72121 110887 195757 300979 319393 504847 752119 1370299 2106853 2235751 5264833 6068467 9592093 14290261 15650257 23315689 36853831 42479269 100031827 163209823 297354883 442998091 700222789 1142468761 3100986637 21706906459