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468100001171 = 11237476136469
BaseRepresentation
bin1101100111111001110…
…11110010110110010011
31122202020200201212110102
412303330323302312103
530132132100014141
6555013035323015
745550645234325
oct6637473626623
91582220655412
10468100001171
1117057a27a200
12768798b046b
13351ac25281a
1418928711615
15c29a2eb99b
hex6cfcef2d93

468100001171 has 48 divisors (see below), whose sum is σ = 548534474880. Its totient is φ = 398580652800.

The previous prime is 468100001167. The next prime is 468100001189. The reversal of 468100001171 is 171100001864.

It is not a de Polignac number, because 468100001171 - 22 = 468100001167 is a prime.

It is a super-2 number, since 2×4681000011712 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468100001071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12817325 + ... + 12853793.

It is an arithmetic number, because the mean of its divisors is an integer number (11427801560).

Almost surely, 2468100001171 is an apocalyptic number.

468100001171 is a deficient number, since it is larger than the sum of its proper divisors (80434473709).

468100001171 is a wasteful number, since it uses less digits than its factorization.

468100001171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36636 (or 36625 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 468100001171 in words is "four hundred sixty-eight billion, one hundred million, one thousand, one hundred seventy-one".

Divisors: 1 11 37 47 61 121 407 517 671 1739 2257 2867 4477 5687 7381 19129 24827 31537 36469 106079 210419 273097 346907 401159 1166869 1349353 1714043 2224609 4412749 12835559 14842883 18854473 24470699 63419591 82310533 104556623 163271713 207399203 269177689 697615501 905415863 1150122853 3868595051 7673770511 9959574493 12651351383 42554545561 468100001171