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19922380685944 = 23112172335195903
BaseRepresentation
bin1001000011110100010100…
…11011001000001001111000
32121112120010222000210211021
410201322022123020021320
510102402013423422234
6110212114302512224
74124226110522422
oct441721233101170
977476128023737
1019922380685944
116391041581600
122299110b95674
13b16898464739
144cc369755812
152483608c59b4
hex121e8a6c8278

19922380685944 has 96 divisors (see below), whose sum is σ = 43660869557760. Its totient is φ = 8486362818560.

The previous prime is 19922380685941. The next prime is 19922380685959. The reversal of 19922380685944 is 44958608322991.

It is a super-2 number, since 2×199223806859442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19922380685941) 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 23 ways as a sum of consecutive naturals, for example, 1236297 + ... + 6432199.

It is an arithmetic number, because the mean of its divisors is an integer number (454800724560).

Almost surely, 219922380685944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19922380685944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830434778880).

19922380685944 is an abundant number, since it is smaller than the sum of its proper divisors (23738488871816).

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

19922380685944 is a wasteful number, since it uses less digits than its factorization.

19922380685944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196181 (or 5196166 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 70.

The spelling of 19922380685944 in words is "nineteen trillion, nine hundred twenty-two billion, three hundred eighty million, six hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 233 242 374 466 484 748 932 968 1496 1864 2057 2563 3961 4114 5126 7922 8228 10252 15844 16456 20504 28193 31688 43571 56386 87142 112772 174284 225544 348568 479281 958562 1917124 3834248 5195903 10391806 20783612 41567224 57154933 88330351 114309866 176660702 228619732 353321404 457239464 628704263 706642808 971633861 1210645399 1257408526 1943267722 2421290798 2514817052 3886535444 4842581596 5029634104 7773070888 9685163192 10687972471 13317099389 20580971783 21375944942 26634198778 41161943566 42751889884 53268397556 82323887132 85503779768 106536795112 146488093279 164647774264 226390689613 292976186558 452781379226 585952373116 905562758452 1171904746232 1811125516904 2490297585743 4980595171486 9961190342972 19922380685944