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132730527345 = 35135923948271
BaseRepresentation
bin111101110011101011…
…0110001111001110001
3110200121012220101222020
41323213112301321301
54133313003333340
6140550415502053
712406120603323
oct1734726617161
9420535811866
10132730527345
1151321a167a9
1221883227929
13c6937b92a0
1465d1da7613
1536bc9289d0
hex1ee75b1e71

132730527345 has 64 divisors (see below), whose sum is σ = 233559244800. Its totient is φ = 63966631680.

The previous prime is 132730527329. The next prime is 132730527367. The reversal of 132730527345 is 543725037231.

It is not a de Polignac number, because 132730527345 - 24 = 132730527329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132730527297 and 132730527306.

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 63 ways as a sum of consecutive naturals, for example, 2725560 + ... + 2773830.

It is an arithmetic number, because the mean of its divisors is an integer number (3649363200).

Almost surely, 2132730527345 is an apocalyptic number.

132730527345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132730527345 is a deficient number, since it is larger than the sum of its proper divisors (100828717455).

132730527345 is a wasteful number, since it uses less digits than its factorization.

132730527345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48590.

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 132730527345 in words is "one hundred thirty-two billion, seven hundred thirty million, five hundred twenty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 59 65 177 195 239 295 717 767 885 1195 2301 3107 3585 3835 9321 11505 14101 15535 42303 46605 48271 70505 144813 183313 211515 241355 549939 627523 724065 916565 1882569 2749695 2847989 3137615 8543967 9412845 11536769 14239945 34610307 37023857 42719835 57683845 111071571 149977997 173051535 185119285 449933991 555357855 680669371 749889985 2042008113 2249669955 3403346855 8848701823 10210040565 26546105469 44243509115 132730527345