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132089375505 = 351719172315823
BaseRepresentation
bin111101100000100100…
…0111110101100010001
3110121221112110111222210
41323001020332230101
54131004340004010
6140403033422333
712354204111063
oct1730110765421
9417845414883
10132089375505
115102301094a
122172456a9a9
13c5c0a127b9
146570b8b733
1536814ccb20
hex1ec123eb11

132089375505 has 64 divisors (see below), whose sum is σ = 235704176640. Its totient is φ = 62773595136.

The previous prime is 132089375491. The next prime is 132089375527. The reversal of 132089375505 is 505573980231.

It is not a de Polignac number, because 132089375505 - 26 = 132089375441 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8340024 + ... + 8355846.

It is an arithmetic number, because the mean of its divisors is an integer number (3682877760).

Almost surely, 2132089375505 is an apocalyptic number.

132089375505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132089375505 is a deficient number, since it is larger than the sum of its proper divisors (103614801135).

132089375505 is a wasteful number, since it uses less digits than its factorization.

132089375505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17590.

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 132089375505 in words is "one hundred thirty-two billion, eighty-nine million, three hundred seventy-five thousand, five hundred five".

Divisors: 1 3 5 15 17 19 51 57 85 95 255 285 323 969 1615 1723 4845 5169 8615 15823 25845 29291 32737 47469 79115 87873 98211 146455 163685 237345 268991 300637 439365 491055 556529 806973 901911 1344955 1503185 1669587 2782645 4034865 4509555 5110829 8347935 15332487 25554145 27263029 76662435 81789087 136315145 408945435 463471493 517997551 1390414479 1553992653 2317357465 2589987755 6952072395 7769963265 8805958367 26417875101 44029791835 132089375505