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132730484544 = 2633719577531
BaseRepresentation
bin111101110011101011…
…0100111011101000000
3110200121012211020021000
41323213112213131000
54133313001001134
6140550414532000
712406120334460
oct1734726473500
9420535736230
10132730484544
1151321997629
1221883207000
13c6937a2968
1465d1d95ba0
1536bc91ae99
hex1ee75a7740

132730484544 has 224 divisors, whose sum is σ = 469418009600. Its totient is φ = 35926986240.

The previous prime is 132730484533. The next prime is 132730484611. The reversal of 132730484544 is 445484037231.

132730484544 is a `hidden beast` number, since 1 + 3 + 27 + 3 + 0 + 4 + 84 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 132730484544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58942 + ... + 518589.

Almost surely, 2132730484544 is an apocalyptic number.

132730484544 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 132730484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234709004800).

132730484544 is an abundant number, since it is smaller than the sum of its proper divisors (336687525056).

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

132730484544 is a wasteful number, since it uses less digits than its factorization.

132730484544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577578 (or 577562 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 132730484544 in words is "one hundred thirty-two billion, seven hundred thirty million, four hundred eighty-four thousand, five hundred forty-four".