Search a number
-
+
132645647040 = 26351731262187
BaseRepresentation
bin111101110001001001…
…0111111001011000000
3110200101022012001002020
41323202102333023000
54133124241201130
6140534144321440
712404040253014
oct1734222771300
9420338161066
10132645647040
1151289011995
122185a913280
13c67c03a75a
1465c49d0544
1536b525de10
hex1ee24bf2c0

132645647040 has 224 divisors, whose sum is σ = 460309837824. Its totient is φ = 32217415680.

The previous prime is 132645647011. The next prime is 132645647051. The reversal of 132645647040 is 40746546231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132645646983 and 132645647001.

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 31 ways as a sum of consecutive naturals, for example, 374827 + ... + 637013.

Almost surely, 2132645647040 is an apocalyptic number.

132645647040 is a gapful number since it is divisible by the number (10) 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 132645647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230154918912).

132645647040 is an abundant number, since it is smaller than the sum of its proper divisors (327664190784).

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

132645647040 is a wasteful number, since it uses less digits than its factorization.

132645647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262255 (or 262245 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 132645647040 in words is "one hundred thirty-two billion, six hundred forty-five million, six hundred forty-seven thousand, forty".