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132520000000 = 29573313
BaseRepresentation
bin111101101101011001…
…1101011101000000000
3110200001112202111202011
41323122303223220000
54132400110000000
6140513455302304
712400653262063
oct1733263535000
9420045674664
10132520000000
11512240a3463
122182481a994
13c65bcb73ab
1465b20448da
1536a91e02ba
hex1edaceba00

132520000000 has 160 divisors (see below), whose sum is σ = 331075519632. Its totient is φ = 52992000000.

The previous prime is 132519999991. The next prime is 132520000003. The reversal of 132520000000 is 25231.

It can be written as a sum of positive squares in 8 ways, for example, as 97254164736 + 35265835264 = 311856^2 + 187792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (132520000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39998344 + ... + 40001656.

Almost surely, 2132520000000 is an apocalyptic number.

132520000000 is a gapful number since it is divisible by the number (10) 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 132520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165537759816).

132520000000 is an abundant number, since it is smaller than the sum of its proper divisors (198555519632).

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

132520000000 is an frugal number, since it uses more digits than its factorization.

132520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 132520000000 its reverse (25231), we get a palindrome (132520025231).

The spelling of 132520000000 in words is "one hundred thirty-two billion, five hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 3313 4000 5000 6250 6400 6626 8000 10000 12500 12800 13252 15625 16000 16565 20000 25000 26504 31250 32000 33130 40000 50000 53008 62500 64000 66260 78125 80000 82825 100000 106016 125000 132520 156250 160000 165650 200000 212032 250000 265040 312500 320000 331300 400000 414125 424064 500000 530080 625000 662600 800000 828250 848128 1000000 1060160 1250000 1325200 1600000 1656500 1696256 2000000 2070625 2120320 2500000 2650400 3313000 4000000 4141250 4240640 5000000 5300800 6626000 8000000 8282500 8481280 10000000 10353125 10601600 13252000 16565000 20000000 20706250 21203200 26504000 33130000 40000000 41412500 42406400 51765625 53008000 66260000 82825000 103531250 106016000 132520000 165650000 207062500 212032000 258828125 265040000 331300000 414125000 517656250 530080000 662600000 828250000 1035312500 1060160000 1325200000 1656500000 2070625000 2650400000 3313000000 4141250000 5300800000 6626000000 8282500000 13252000000 16565000000 26504000000 33130000000 66260000000 132520000000