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22743145257156 = 2234191213671089
BaseRepresentation
bin1010010101111010011010…
…00110000001100011000100
32222112020000220012220120000
411022331031012001203010
510440110430141212111
6120212020125041300
74535065225004142
oct512751506014304
988466026186500
1022743145257156
11727934a648835
1226739353b6230
13c8c891879cac
14588aba1d8592
15296904adac56
hex14af4d1818c4

22743145257156 has 60 divisors (see below), whose sum is σ = 59458199784060. Its totient is φ = 7580649876480.

The previous prime is 22743145257101. The next prime is 22743145257169. The reversal of 22743145257156 is 65175254134722.

22743145257156 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 3 + 14 + 5 + 2 + 571 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21086776257156 + 1656369000000 = 4592034^2 + 1287000^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4359660 + ... + 8030748.

It is an arithmetic number, because the mean of its divisors is an integer number (990969996401).

Almost surely, 222743145257156 is an apocalyptic number.

It is an amenable number.

22743145257156 is an abundant number, since it is smaller than the sum of its proper divisors (36715054526904).

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

22743145257156 is a wasteful number, since it uses less digits than its factorization.

22743145257156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690226 (or 3690215 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 22743145257156 in words is "twenty-two trillion, seven hundred forty-three billion, one hundred forty-five million, two hundred fifty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 19121 38242 57363 76484 114726 172089 229452 344178 516267 688356 1032534 1548801 2065068 3097602 3671089 6195204 7342178 11013267 14684356 22026534 33039801 44053068 66079602 99119403 132159204 198238806 297358209 396477612 594716418 1189432836 70194892769 140389785538 210584678307 280779571076 421169356614 631754034921 842338713228 1263508069842 1895262104763 2527016139684 3790524209526 5685786314289 7581048419052 11371572628578 22743145257156