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132742247232 = 263798766553
BaseRepresentation
bin111101110100000001…
…1011111001101000000
3110200122000221211122010
41323220003133031000
54133324003402412
6140551515012520
712406322325150
oct1735003371500
9420560854563
10132742247232
11513285a1061
122188713a140
13c69606092a
1465d3778760
1536bd99133c
hex1ee80df340

132742247232 has 56 divisors (see below), whose sum is σ = 401387275456. Its totient is φ = 37926355968.

The previous prime is 132742247221. The next prime is 132742247237. The reversal of 132742247232 is 232742247231.

132742247232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132742247237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49381933 + ... + 49384620.

Almost surely, 2132742247232 is an apocalyptic number.

132742247232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132742247232 is an abundant number, since it is smaller than the sum of its proper divisors (268645028224).

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

132742247232 is an equidigital number, since it uses as much as digits as its factorization.

132742247232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98766575 (or 98766565 counting only the distinct ones).

The product of its digits is 225792, while the sum is 39.

Subtracting 132742247232 from its reverse (232742247231), we obtain a palindrome (99999999999).

The spelling of 132742247232 in words is "one hundred thirty-two billion, seven hundred forty-two million, two hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 98766553 197533106 296299659 395066212 592599318 691365871 790132424 1185198636 1382731742 1580264848 2074097613 2370397272 2765463484 3160529696 4148195226 4740794544 5530926968 6321059392 8296390452 9481589088 11061853936 16592780904 18963178176 22123707872 33185561808 44247415744 66371123616 132742247232