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132527974976 = 265973480787
BaseRepresentation
bin111101101101101001…
…0000110101001000000
3110200002002202200100122
41323123102012221000
54132404130144401
6140514342235412
712401111125535
oct1733322065100
9420062680318
10132527974976
1151228650151
1221827425b68
13c66084a307
1465b311cd8c
1536a9c6821b
hex1edb486a40

132527974976 has 56 divisors (see below), whose sum is σ = 271106737440. Its totient is φ = 64248394752.

The previous prime is 132527974973. The next prime is 132527974979. The reversal of 132527974976 is 679479725231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132527974973) and next prime (132527974979).

It is not an unprimeable number, because it can be changed into a prime (132527974973) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35255 + ... + 516041.

It is an arithmetic number, because the mean of its divisors is an integer number (4841191740).

Almost surely, 2132527974976 is an apocalyptic number.

132527974976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132527974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135553368720).

132527974976 is an abundant number, since it is smaller than the sum of its proper divisors (138578762464).

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

132527974976 is an equidigital number, since it uses as much as digits as its factorization.

132527974976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480931 (or 480921 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 62.

The spelling of 132527974976 in words is "one hundred thirty-two billion, five hundred twenty-seven million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 73 118 146 236 292 472 584 944 1168 1888 2336 3776 4307 4672 8614 17228 34456 68912 137824 275648 480787 961574 1923148 3846296 7692592 15385184 28366433 30770368 35097451 56732866 70194902 113465732 140389804 226931464 280779608 453862928 561559216 907725856 1123118432 1815451712 2070749609 2246236864 4141499218 8282998436 16565996872 33131993744 66263987488 132527974976