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132242450256 = 24337412234783
BaseRepresentation
bin111101100101001000…
…0111010011101010000
3110122100012111112002000
41323022100322131100
54131313031402011
6140430142354000
712361043165130
oct1731220723520
9418305445060
10132242450256
11510a1463204
122176788b900
13c61664a087
146587236ac0
15368eb68356
hex1eca43a750

132242450256 has 320 divisors, whose sum is σ = 446478090240. Its totient is φ = 36689034240.

The previous prime is 132242450231. The next prime is 132242450257. The reversal of 132242450256 is 652054242231.

132242450256 is a `hidden beast` number, since 1 + 322 + 42 + 45 + 0 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132242450256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242450257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27646041 + ... + 27650823.

It is an arithmetic number, because the mean of its divisors is an integer number (1395244032).

Almost surely, 2132242450256 is an apocalyptic number.

132242450256 is a gapful number since it is divisible by the number (16) 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 132242450256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223239045120).

132242450256 is an abundant number, since it is smaller than the sum of its proper divisors (314235639984).

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

132242450256 is a wasteful number, since it uses less digits than its factorization.

132242450256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 132242450256 its reverse (652054242231), we get a palindrome (784296692487).

The spelling of 132242450256 in words is "one hundred thirty-two billion, two hundred forty-two million, four hundred fifty thousand, two hundred fifty-six".