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20416206243345 = 3511235991182449
BaseRepresentation
bin1001010010001100001001…
…01110001000011000010001
32200021202210111221100010120
410221012010232020120101
510133444342244241340
6111231024202220453
74205010423512523
oct451060456103021
980252714840116
1020416206243345
1165615121a1980
12235896a1b4729
13b5131733a283
1450821491ba13
152561144144d0
hex129184b88611

20416206243345 has 64 divisors (see below), whose sum is σ = 37815185664000. Its totient is φ = 9307904291840.

The previous prime is 20416206243311. The next prime is 20416206243401. The reversal of 20416206243345 is 54334260261402.

It is a happy number.

It is not a de Polignac number, because 20416206243345 - 27 = 20416206243217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20416206243297 and 20416206243306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45367320 + ... + 45815129.

It is an arithmetic number, because the mean of its divisors is an integer number (590862276000).

Almost surely, 220416206243345 is an apocalyptic number.

It is an amenable number.

20416206243345 is a deficient number, since it is larger than the sum of its proper divisors (17398979420655).

20416206243345 is a wasteful number, since it uses less digits than its factorization.

20416206243345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91182550.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 20416206243345 in words is "twenty trillion, four hundred sixteen billion, two hundred six million, two hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 23 33 55 59 69 115 165 177 253 295 345 649 759 885 1265 1357 1947 3245 3795 4071 6785 9735 14927 20355 44781 74635 223905 91182449 273547347 455912245 1003006939 1367736735 2097196327 3009020817 5015034695 5379764491 6291588981 10485981635 15045104085 16139293473 23069159597 26898822455 31457944905 59177409401 69207478791 80696467365 115345797985 123734583293 177532228203 295887047005 346037393955 371203749879 618672916465 887661141015 1361080416223 1856018749395 4083241248669 6805402081115 20416206243345