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132220530624 = 263721317193347
BaseRepresentation
bin111101100100011110…
…1010010111111000000
3110122021200020212222210
41323020331102333000
54131241423434444
6140424040502120
712360355652400
oct1731075227700
9418250225883
10132220530624
1151090051706
122176047a940
13c611c43c90
14658436c800
15368cc887b9
hex1ec8f52fc0

132220530624 has 672 divisors, whose sum is σ = 488601227520. Its totient is φ = 31083429888.

The previous prime is 132220530599. The next prime is 132220530671. The reversal of 132220530624 is 426035022231.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 132220530591 and 132220530600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39502519 + ... + 39505865.

It is an arithmetic number, because the mean of its divisors is an integer number (727085160).

Almost surely, 2132220530624 is an apocalyptic number.

132220530624 is a gapful number since it is divisible by the number (14) 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 132220530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244300613760).

132220530624 is an abundant number, since it is smaller than the sum of its proper divisors (356380696896).

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

132220530624 is a wasteful number, since it uses less digits than its factorization.

132220530624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132220530624 its reverse (426035022231), we get a palindrome (558255552855).

The spelling of 132220530624 in words is "one hundred thirty-two billion, two hundred twenty million, five hundred thirty thousand, six hundred twenty-four".