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132263975736 = 23335311553457
BaseRepresentation
bin111101100101110001…
…1000001101100111000
3110122101201000010111000
41323023203001230320
54131334034210421
6140432232005000
712361424146464
oct1731343015470
9418351003430
10132263975736
1151102625662
1221772b30760
13c61ac45949
14658a03b4a4
1536919bb226
hex1ecb8c1b38

132263975736 has 64 divisors (see below), whose sum is σ = 374332039200. Its totient is φ = 43256139264.

The previous prime is 132263975689. The next prime is 132263975737. The reversal of 132263975736 is 637579362231.

132263975736 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 63 + 9 + 7 + 573 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132263975737) by changing a digit.

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, 5765281 + ... + 5788176.

Almost surely, 2132263975736 is an apocalyptic number.

It is an amenable number.

132263975736 is an abundant number, since it is smaller than the sum of its proper divisors (242068063464).

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

132263975736 is a wasteful number, since it uses less digits than its factorization.

132263975736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553525 (or 11553515 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The spelling of 132263975736 in words is "one hundred thirty-two billion, two hundred sixty-three million, nine hundred seventy-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 11553457 23106914 34660371 46213828 69320742 92427656 103981113 138641484 207962226 277282968 311943339 415924452 612333221 623886678 831848904 1224666442 1247773356 1836999663 2449332884 2495546712 3673999326 4898665768 5510998989 7347998652 11021997978 14695997304 16532996967 22043995956 33065993934 44087991912 66131987868 132263975736