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132605336416 = 2573491696241
BaseRepresentation
bin111101101111111100…
…1001101101101100000
3110200021111100001022011
41323133321031231200
54133033431231131
6140530144322304
712403040522230
oct1733771155540
9420244301264
10132605336416
1151268289a23
1221849313394
13c673895707
1465bd4d9cc0
1536b194a0b1
hex1edfe4db60

132605336416 has 48 divisors (see below), whose sum is σ = 299217088800. Its totient is φ = 56667985920.

The previous prime is 132605336411. The next prime is 132605336417. The reversal of 132605336416 is 614633506231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132605336411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 769945 + ... + 926296.

It is an arithmetic number, because the mean of its divisors is an integer number (6233689350).

Almost surely, 2132605336416 is an apocalyptic number.

132605336416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132605336416 is an abundant number, since it is smaller than the sum of its proper divisors (166611752384).

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

132605336416 is a wasteful number, since it uses less digits than its factorization.

132605336416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696607 (or 1696599 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 132605336416 in words is "one hundred thirty-two billion, six hundred five million, three hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 349 698 1396 2443 2792 4886 5584 9772 11168 19544 39088 78176 1696241 3392482 6784964 11873687 13569928 23747374 27139856 47494748 54279712 94989496 189978992 379957984 591988109 1183976218 2367952436 4143916763 4735904872 8287833526 9471809744 16575667052 18943619488 33151334104 66302668208 132605336416