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132691175824 = 2419247932
BaseRepresentation
bin111101110010100000…
…0101010100110010000
3110200111110212010211111
41323211000222212100
54133222420111244
6140542452223104
712405132246004
oct1734500524620
9420443763744
10132691175824
1151301789389
122187200aa94
13c6885bb96c
1465caa82704
1536b9253e34
hex1ee502a990

132691175824 has 45 divisors (see below), whose sum is σ = 271388941473. Its totient is φ = 62840601216.

The previous prime is 132691175807. The next prime is 132691175849. The reversal of 132691175824 is 428571196231.

It is a happy number.

The square root of 132691175824 is 364268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 114636416400 + 18054759424 = 338580^2 + 134368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27681972 + ... + 27686764.

Almost surely, 2132691175824 is an apocalyptic number.

132691175824 is the 364268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132691175824

132691175824 is an abundant number, since it is smaller than the sum of its proper divisors (138697765649).

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

132691175824 is an frugal number, since it uses more digits than its factorization.

132691175824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9632 (or 4814 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

Multiplying 132691175824 by its sum of digits (49), we get a square (6501867615376 = 25498762).

The spelling of 132691175824 in words is "one hundred thirty-two billion, six hundred ninety-one million, one hundred seventy-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 4793 5776 9586 19172 38344 76688 91067 182134 364268 728536 1457072 1730273 3460546 6921092 13842184 22972849 27684368 45945698 91891396 183782792 367565584 436484131 872968262 1745936524 3491873048 6983746096 8293198489 16586396978 33172793956 66345587912 132691175824