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145605146211 = 33710128326953
BaseRepresentation
bin1000011110011010111…
…1100011011001100011
3111220211110202210212000
42013212233203121203
54341144404134321
6150520131335043
713343142215310
oct2074657433143
9456743683760
10145605146211
1156829344488
1224276a51483
1310965bcb965
147093c15d07
153bc2d60826
hex21e6be3663

145605146211 has 64 divisors (see below), whose sum is σ = 249857111040. Its totient is φ = 82085011200.

The previous prime is 145605146131. The next prime is 145605146237. The reversal of 145605146211 is 112641506541.

145605146211 is a `hidden beast` number, since 1 + 4 + 5 + 605 + 1 + 46 + 2 + 1 + 1 = 666.

It is not a de Polignac number, because 145605146211 - 225 = 145571591779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145605146261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5388711 + ... + 5415663.

It is an arithmetic number, because the mean of its divisors is an integer number (3904017360).

Almost surely, 2145605146211 is an apocalyptic number.

145605146211 is a deficient number, since it is larger than the sum of its proper divisors (104251964829).

145605146211 is a wasteful number, since it uses less digits than its factorization.

145605146211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27353 (or 27347 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145605146211 in words is "one hundred forty-five billion, six hundred five million, one hundred forty-six thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 101 189 283 303 707 849 909 1981 2121 2547 2727 5943 6363 7641 17829 19089 26953 28583 53487 80859 85749 188671 200081 242577 257247 566013 600243 727731 771741 1698039 1800729 2722253 5094117 5402187 7627699 8166759 19055771 22883097 24500277 53393893 57167313 68649291 73500831 160181679 171501939 205947873 480545037 514505817 770397599 1441635111 2311192797 5392783193 6933578391 16178349579 20800735173 48535048737 145605146211