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10143226146366 = 2332237191171517
BaseRepresentation
bin1001001110011010011101…
…1001000010111000111110
31022220200102212111100102000
42103212213121002320332
52312141311343140431
633323422254243130
72064552412452165
oct223464731027076
938820385440360
1010143226146366
1132607997a9725
1211799a9ab64a6
1358766b211c61
14270d12dd03dc
15128cadec99e6
hex939a7642e3e

10143226146366 has 64 divisors (see below), whose sum is σ = 22673090764800. Its totient is φ = 3361229358048.

The previous prime is 10143226146293. The next prime is 10143226146377. The reversal of 10143226146366 is 66364162234101.

10143226146366 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 2 + 2 + 6 + 1 + 4 + 636 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 8072440 + ... + 9243956.

It is an arithmetic number, because the mean of its divisors is an integer number (354267043200).

Almost surely, 210143226146366 is an apocalyptic number.

10143226146366 is an abundant number, since it is smaller than the sum of its proper divisors (12529864618434).

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

10143226146366 is a wasteful number, since it uses less digits than its factorization.

10143226146366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172470 (or 1172464 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 10143226146366 in words is "ten trillion, one hundred forty-three billion, two hundred twenty-six million, one hundred forty-six thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 223 446 669 719 1338 1438 2007 2157 4014 4314 6021 6471 12042 12942 19413 38826 160337 320674 481011 962022 1171517 1443033 2343034 2886066 3514551 4329099 7029102 8658198 10543653 21087306 31630959 63261918 261248291 522496582 783744873 842320723 1567489746 1684641446 2351234619 2526962169 4702469238 5053924338 7053703857 7580886507 14107407714 15161773014 22742659521 45485319042 187837521229 375675042458 563512563687 1127025127374 1690537691061 3381075382122 5071613073183 10143226146366