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132683500224 = 2634114095689
BaseRepresentation
bin111101110010010001…
…1011000101011000000
3110200110221102011220000
41323210203120223000
54133213434001344
6140542015520000
712405010100112
oct1734443305300
9420427364800
10132683500224
11512a8416610
122186b529000
13c686b320a2
1465c9a453b2
1536b8739a69
hex1ee48d8ac0

132683500224 has 280 divisors, whose sum is σ = 430196091600. Its totient is φ = 40101765120.

The previous prime is 132683500181. The next prime is 132683500247. The reversal of 132683500224 is 422005386231.

It is a super-2 number, since 2×1326835002242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 23319972 + ... + 23325660.

Almost surely, 2132683500224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132683500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215098045800).

132683500224 is an abundant number, since it is smaller than the sum of its proper divisors (297512591376).

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

132683500224 is a wasteful number, since it uses less digits than its factorization.

132683500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 132683500224 its reverse (422005386231), we get a palindrome (554688886455).

The spelling of 132683500224 in words is "one hundred thirty-two billion, six hundred eighty-three million, five hundred thousand, two hundred twenty-four".