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132540241504 = 2511794766263
BaseRepresentation
bin111101101110000000…
…0111001011001100000
3110200002221211212212111
41323130000321121200
54132420300212004
6140515501205104
712401320315156
oct1733400713140
9420087755774
10132540241504
1151234569180
122182b560794
13c663253708
1465b49d33d6
1536aad8ca04
hex1edc039660

132540241504 has 48 divisors (see below), whose sum is σ = 288263646720. Its totient is φ = 59482949760.

The previous prime is 132540241441. The next prime is 132540241507. The reversal of 132540241504 is 405142045231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132540241507) 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, 2355324 + ... + 2410939.

It is an arithmetic number, because the mean of its divisors is an integer number (6005492640).

Almost surely, 2132540241504 is an apocalyptic number.

It is an amenable number.

132540241504 is an abundant number, since it is smaller than the sum of its proper divisors (155723405216).

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

132540241504 is a wasteful number, since it uses less digits than its factorization.

132540241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766363 (or 4766355 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 132540241504 its reverse (405142045231), we get a palindrome (537682286735).

The spelling of 132540241504 in words is "one hundred thirty-two billion, five hundred forty million, two hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1264 1738 2528 3476 6952 13904 27808 4766263 9532526 19065052 38130104 52428893 76260208 104857786 152520416 209715572 376534777 419431144 753069554 838862288 1506139108 1677724576 3012278216 4141882547 6024556432 8283765094 12049112864 16567530188 33135060376 66270120752 132540241504