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22116993921252 = 2232614360942257
BaseRepresentation
bin1010000011101100000111…
…00100001111000011100100
32220022100211100000100022100
411001312003210033003210
510344331100420440002
6115012223504532100
74441620504321246
oct501660344170344
986270740010270
1022116993921252
11705784553053a
122592508621030
13c45815000139
1456667ab08096
152854a8e7411c
hex141d8390f0e4

22116993921252 has 18 divisors (see below), whose sum is σ = 55906845745478. Its totient is φ = 7372331307072.

The previous prime is 22116993921251. The next prime is 22116993921271. The reversal of 22116993921252 is 25212939961122.

22116993921252 is a `hidden beast` number, since 2 + 2 + 116 + 99 + 392 + 1 + 2 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22023929877156 + 93064044096 = 4692966^2 + 305064^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×221169939212522 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22116993921251) 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 5 ways as a sum of consecutive naturals, for example, 307180471093 + ... + 307180471164.

Almost surely, 222116993921252 is an apocalyptic number.

It is an amenable number.

22116993921252 is an abundant number, since it is smaller than the sum of its proper divisors (33789851824226).

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

22116993921252 is a wasteful number, since it uses less digits than its factorization.

22116993921252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614360942267 (or 614360942262 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 22116993921252 in words is "twenty-two trillion, one hundred sixteen billion, nine hundred ninety-three million, nine hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 614360942257 1228721884514 1843082826771 2457443769028 3686165653542 5529248480313 7372331307084 11058496960626 22116993921252