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23056729146 = 23211131888917
BaseRepresentation
bin10101011110010010…
…011100010000111010
32012111212022012100100
4111132102130100322
5334210010313041
614331521420230
71444236651453
oct253622342072
965455265310
1023056729146
119861a16960
12457579a676
132235a623c9
14118a25812a
158ee2b86b6
hex55e49c43a

23056729146 has 48 divisors (see below), whose sum is σ = 54913798368. Its totient is φ = 6933544800.

The previous prime is 23056729123. The next prime is 23056729153. The reversal of 23056729146 is 64192765032.

23056729146 is a `hidden beast` number, since 23 + 0 + 567 + 29 + 1 + 46 = 666.

It is a super-2 number, since 2×230567291462 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418521 + ... + 470396.

It is an arithmetic number, because the mean of its divisors is an integer number (1144037466).

Almost surely, 223056729146 is an apocalyptic number.

23056729146 is an abundant number, since it is smaller than the sum of its proper divisors (31857069222).

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

23056729146 is a wasteful number, since it uses less digits than its factorization.

23056729146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889067 (or 889064 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 23056729146 in words is "twenty-three billion, fifty-six million, seven hundred twenty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 12969 25938 888917 1777834 2666751 5333502 8000253 9778087 16000506 19556174 29334261 58668522 88002783 116448127 176005566 232896254 349344381 698688762 1048033143 1280929397 2096066286 2561858794 3842788191 7685576382 11528364573 23056729146