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132235410450 = 2352111321992383
BaseRepresentation
bin111101100100111011…
…0000011110000010010
3110122022201020212021110
41323021312003300102
54131304231113300
6140425331434150
712360626304663
oct1731166036022
9418281225243
10132235410450
1151098495090
1221765455956
13c615053a00
14658632336a
15368e227550
hex1ec9d83c12

132235410450 has 288 divisors, whose sum is σ = 389503641600. Its totient is φ = 29430086400.

The previous prime is 132235410449. The next prime is 132235410451. The reversal of 132235410450 is 54014532231.

It is an interprime number because it is at equal distance from previous prime (132235410449) and next prime (132235410451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132235410451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55489959 + ... + 55492341.

It is an arithmetic number, because the mean of its divisors is an integer number (1352443200).

Almost surely, 2132235410450 is an apocalyptic number.

132235410450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132235410450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194751820800).

132235410450 is an abundant number, since it is smaller than the sum of its proper divisors (257268231150).

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

132235410450 is a wasteful number, since it uses less digits than its factorization.

132235410450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 132235410450 its reverse (54014532231), we get a palindrome (186249942681).

The spelling of 132235410450 in words is "one hundred thirty-two billion, two hundred thirty-five million, four hundred ten thousand, four hundred fifty".