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145807011 = 327171091249
BaseRepresentation
bin10001011000011…
…01011010100011
3101011100202121200
420230031122203
5244311311021
622245052243
73420224220
oct1054153243
9334322550
10145807011
1175338a69
12409b7083
132429154c
1415516947
15cc02126
hex8b0d6a3

145807011 has 48 divisors (see below), whose sum is σ = 257400000. Its totient is φ = 77635584.

The previous prime is 145807001. The next prime is 145807031. The reversal of 145807011 is 110708541.

145807011 is a `hidden beast` number, since 1 + 4 + 580 + 70 + 11 = 666.

It is not a de Polignac number, because 145807011 - 25 = 145806979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145807001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116115 + ... + 117363.

It is an arithmetic number, because the mean of its divisors is an integer number (5362500).

Almost surely, 2145807011 is an apocalyptic number.

145807011 is a deficient number, since it is larger than the sum of its proper divisors (111592989).

145807011 is a wasteful number, since it uses less digits than its factorization.

145807011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 145807011 is about 12075.0573911680. The cubic root of 145807011 is about 526.3316290758.

The spelling of 145807011 in words is "one hundred forty-five million, eight hundred seven thousand, eleven".

Divisors: 1 3 7 9 17 21 51 63 109 119 153 327 357 763 981 1071 1249 1853 2289 3747 5559 6867 8743 11241 12971 16677 21233 26229 38913 63699 78687 116739 136141 148631 191097 408423 445893 952987 1225269 1337679 2314397 2858961 6943191 8576883 16200779 20829573 48602337 145807011