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20227577666166 = 23213454719010917
BaseRepresentation
bin1001001100101100110011…
…00101001101101001110110
32122121201220122222210012100
410212112121211031221312
510122402034340304131
6111004230525202530
74155252142201653
oct446263145155166
978551818883170
1020227577666166
116499516295a82
1223282a6a00446
13b395b5b8c870
144dd03cb92c2a
1525127444a7e6
hex12659994da76

20227577666166 has 48 divisors (see below), whose sum is σ = 47208063664944. Its totient is φ = 6222500937792.

The previous prime is 20227577666081. The next prime is 20227577666173. The reversal of 20227577666166 is 66166677572202.

It is a happy number.

It is a super-2 number, since 2×202275776661662 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8441461 + ... + 10569456.

It is an arithmetic number, because the mean of its divisors is an integer number (983501326353).

Almost surely, 220227577666166 is an apocalyptic number.

20227577666166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20227577666166 is an abundant number, since it is smaller than the sum of its proper divisors (26980485998778).

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

20227577666166 is a wasteful number, since it uses less digits than its factorization.

20227577666166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015485 (or 19015482 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 20227577666166 in words is "twenty trillion, two hundred twenty-seven billion, five hundred seventy-seven million, six hundred sixty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4547 9094 13641 27282 40923 59111 81846 118222 177333 354666 531999 1063998 19010917 38021834 57032751 114065502 171098253 247141921 342196506 494283842 741425763 1482851526 2224277289 4448554578 86442639599 172885279198 259327918797 518655837594 777983756391 1123754314787 1555967512782 2247508629574 3371262944361 6742525888722 10113788833083 20227577666166