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132545400352 = 25171307186419
BaseRepresentation
bin111101101110001010…
…0100100111000100000
3110200010022112222110221
41323130110210320200
54132423110302402
6140520203532424
712401412212431
oct1733424447040
9420108488427
10132545400352
1151237472092
122183122a114
13c66433b8a1
1465b5577488
1536ab55b337
hex1edc524e20

132545400352 has 48 divisors (see below), whose sum is σ = 276511566240. Its totient is φ = 62326248448.

The previous prime is 132545400287. The next prime is 132545400391. The reversal of 132545400352 is 253004545231.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 617799 + ... + 804217.

It is an arithmetic number, because the mean of its divisors is an integer number (5760657630).

Almost surely, 2132545400352 is an apocalyptic number.

It is an amenable number.

132545400352 is an abundant number, since it is smaller than the sum of its proper divisors (143966165888).

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

132545400352 is a wasteful number, since it uses less digits than its factorization.

132545400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187753 (or 187745 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 132545400352 its reverse (253004545231), we get a palindrome (385549945583).

The spelling of 132545400352 in words is "one hundred thirty-two billion, five hundred forty-five million, four hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1307 2614 5228 10456 20912 22219 41824 44438 88876 177752 186419 355504 372838 711008 745676 1491352 2982704 3169123 5965408 6338246 12676492 25352984 50705968 101411936 243649633 487299266 974598532 1949197064 3898394128 4142043761 7796788256 8284087522 16568175044 33136350088 66272700176 132545400352