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132589619344 = 24713359253661
BaseRepresentation
bin111101101111011110…
…1010000100010010000
3110200020101202112112101
41323132331100202100
54133020420304334
6140524423410144
712402460111660
oct1733675204220
9420211675471
10132589619344
115125a424506
1221843bb3954
13c670551880
1465bb3a81a0
1536b0393214
hex1edef50890

132589619344 has 80 divisors (see below), whose sum is σ = 317057207040. Its totient is φ = 52306721280.

The previous prime is 132589619339. The next prime is 132589619353. The reversal of 132589619344 is 443916985231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395874 + ... + 649534.

It is an arithmetic number, because the mean of its divisors is an integer number (3963215088).

Almost surely, 2132589619344 is an apocalyptic number.

132589619344 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 132589619344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158528603520).

132589619344 is an abundant number, since it is smaller than the sum of its proper divisors (184467587696).

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

132589619344 is a wasteful number, since it uses less digits than its factorization.

132589619344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254048 (or 254042 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The spelling of 132589619344 in words is "one hundred thirty-two billion, five hundred eighty-nine million, six hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 359 364 718 728 1436 1456 2513 2872 4667 5026 5744 9334 10052 18668 20104 32669 37336 40208 65338 74672 130676 253661 261352 507322 522704 1014644 1775627 2029288 3297593 3551254 4058576 6595186 7102508 13190372 14205016 23083151 26380744 28410032 46166302 52761488 91064299 92332604 182128598 184665208 364257196 369330416 637450093 728514392 1183835887 1274900186 1457028784 2367671774 2549800372 4735343548 5099600744 8286851209 9470687096 10199201488 16573702418 18941374192 33147404836 66294809672 132589619344