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22606656553355 = 5741157100342469
BaseRepresentation
bin1010010001111100001011…
…01110111100000110001011
32222001011201202122100200012
411020332011232330012023
510430341413034201410
6120025204334302135
74522164011113040
oct510760556740613
988034652570605
1022606656553355
11722647a2a7486
1226513a365794b
13c7ca4c5ab174
1458224d0691c7
152930b72a8605
hex148f85bbc18b

22606656553355 has 32 divisors (see below), whose sum is σ = 31961886284160. Its totient is φ = 15027288007680.

The previous prime is 22606656553333. The next prime is 22606656553381. The reversal of 22606656553355 is 55335565660622.

It is not a de Polignac number, because 22606656553355 - 26 = 22606656553291 is a prime.

It is a super-2 number, since 2×226066565533552 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 22606656553294 and 22606656553303.

It is an unprimeable number.

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, 49945940 + ... + 50396529.

It is an arithmetic number, because the mean of its divisors is an integer number (998808946380).

Almost surely, 222606656553355 is an apocalyptic number.

22606656553355 is a deficient number, since it is larger than the sum of its proper divisors (9355229730805).

22606656553355 is a wasteful number, since it uses less digits than its factorization.

22606656553355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100342679.

The product of its (nonzero) digits is 145800000, while the sum is 59.

The spelling of 22606656553355 in words is "twenty-two trillion, six hundred six billion, six hundred fifty-six million, five hundred fifty-three thousand, three hundred fifty-five".

Divisors: 1 5 7 35 41 157 205 287 785 1099 1435 5495 6437 32185 45059 225295 100342469 501712345 702397283 3511986415 4114041229 15753767633 20570206145 28798288603 78768838165 110276373431 143991443015 551381867155 645904472953 3229522364765 4521331310671 22606656553355