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132507410532 = 22372225352739
BaseRepresentation
bin111101101101000001…
…1101010000001100100
3110200000200001220020120
41323122003222001210
54132333344114112
6140512325401540
712400441256100
oct1733203520144
9420020056216
10132507410532
1151217a84842
12218205692b0
13c6594c9cc3
1465b04c8900
1536a8054e8c
hex1eda0ea064

132507410532 has 36 divisors (see below), whose sum is σ = 359662973040. Its totient is φ = 37859259984.

The previous prime is 132507410527. The next prime is 132507410551. The reversal of 132507410532 is 235014705231.

It is a junction number, because it is equal to n+sod(n) for n = 132507410493 and 132507410502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112675782 + ... + 112676957.

It is an arithmetic number, because the mean of its divisors is an integer number (9990638140).

Almost surely, 2132507410532 is an apocalyptic number.

132507410532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132507410532 is an abundant number, since it is smaller than the sum of its proper divisors (227155562508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132507410532 is a wasteful number, since it uses less digits than its factorization.

132507410532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225352760 (or 225352751 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 132507410532 in words is "one hundred thirty-two billion, five hundred seven million, four hundred ten thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 225352739 450705478 676058217 901410956 1352116434 1577469173 2704232868 3154938346 4732407519 6309876692 9464815038 11042284211 18929630076 22084568422 33126852633 44169136844 66253705266 132507410532