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132727504464 = 2432921718781
BaseRepresentation
bin111101110011100101…
…1001111111001010000
3110200121000012211100200
41323213023033321100
54133311220120324
6140550231015200
712406053113262
oct1734713177120
9420530184320
10132727504464
1151320241655
122188220a500
13c692c9b3b9
1465d181bb32
1536bc52cec9
hex1ee72cfe50

132727504464 has 30 divisors (see below), whose sum is σ = 371452669146. Its totient is φ = 44242501440.

The previous prime is 132727504439. The next prime is 132727504477. The reversal of 132727504464 is 464405727231.

132727504464 is a `hidden beast` number, since 1 + 32 + 72 + 7 + 504 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84792780864 + 47934723600 = 291192^2 + 218940^2 .

It is a super-2 number, since 2×1327275044642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460859247 + ... + 460859534.

Almost surely, 2132727504464 is an apocalyptic number.

It is an amenable number.

132727504464 is an abundant number, since it is smaller than the sum of its proper divisors (238725164682).

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

132727504464 is a wasteful number, since it uses less digits than its factorization.

132727504464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921718795 (or 921718786 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 132727504464 in words is "one hundred thirty-two billion, seven hundred twenty-seven million, five hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 921718781 1843437562 2765156343 3686875124 5530312686 7373750248 8295469029 11060625372 14747500496 16590938058 22121250744 33181876116 44242501488 66363752232 132727504464