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146265621601 = 11139105191019
BaseRepresentation
bin1000100000111000011…
…1000100010001100001
3111222112111120102202111
42020032013010101201
54344022444342401
6151105443515321
713365412161451
oct2101607042141
9458474512674
10146265621601
1157038148410
1224420088b41
1310a3c9ac9b8
147117821d61
153c10d26e51
hex220e1c4461

146265621601 has 16 divisors (see below), whose sum is σ = 160865107200. Its totient is φ = 131885082000.

The previous prime is 146265621587. The next prime is 146265621643. The reversal of 146265621601 is 106126562641.

It is a cyclic number.

It is not a de Polignac number, because 146265621601 - 213 = 146265613409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146265621301) 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 15 ways as a sum of consecutive naturals, for example, 1561470 + ... + 1652488.

It is an arithmetic number, because the mean of its divisors is an integer number (10054069200).

Almost surely, 2146265621601 is an apocalyptic number.

146265621601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146265621601 is a deficient number, since it is larger than the sum of its proper divisors (14599485599).

146265621601 is a wasteful number, since it uses less digits than its factorization.

146265621601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92220.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 146265621601 in words is "one hundred forty-six billion, two hundred sixty-five million, six hundred twenty-one thousand, six hundred one".

Divisors: 1 11 139 1051 1529 11561 91019 146089 1001209 1606979 12651641 95660969 139168051 1052270659 13296874691 146265621601