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21927145916809 = 7193110960118117
BaseRepresentation
bin1001111110001010011111…
…01111100100100110001001
32212122012210111111110122101
410333011033233210212021
510333223243323314214
6114345105231153401
74422120055030030
oct477051757444611
985565714443571
1021927145916809
116a94283259911
122561764975861
13c3094b018733
1455b3cb033717
15280596dd3774
hex13f14fbe4989

21927145916809 has 64 divisors (see below), whose sum is σ = 27487210291200. Its totient is φ = 17068103827200.

The previous prime is 21927145916783. The next prime is 21927145916881. The reversal of 21927145916809 is 90861954172912.

It is a cyclic number.

It is not a de Polignac number, because 21927145916809 - 215 = 21927145884041 is a prime.

It is a super-2 number, since 2×219271459168092 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21927145116809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2701381419 + ... + 2701389535.

It is an arithmetic number, because the mean of its divisors is an integer number (429487660800).

Almost surely, 221927145916809 is an apocalyptic number.

It is an amenable number.

21927145916809 is a deficient number, since it is larger than the sum of its proper divisors (5560064374391).

21927145916809 is a wasteful number, since it uses less digits than its factorization.

21927145916809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14294.

The product of its (nonzero) digits is 19595520, while the sum is 64.

The spelling of 21927145916809 in words is "twenty-one trillion, nine hundred twenty-seven billion, one hundred forty-five million, nine hundred sixteen thousand, eight hundred nine".

Divisors: 1 7 19 31 109 133 217 589 763 2071 3379 4123 6011 8117 14497 23653 42077 56819 64201 114209 154223 186341 251627 449407 655199 799463 884753 1079561 1304387 1761389 3540479 4586393 4780913 6193271 12448781 16810307 20311169 24783353 27427343 33466391 48791287 87141467 117672149 142178183 191991401 341539009 385912211 521119517 927034453 1512529897 2701385477 3647836619 5318250283 6489241171 10587709279 28738068043 37227751981 101046755377 164865758773 201166476301 707327287639 1154060311411 3132449416687 21927145916809