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133252442400 = 253527211239431
BaseRepresentation
bin111110000011001110…
…1101110100100100000
3110201221120222102211110
41330012131232210200
54140400111124100
6141114302143320
712425056033500
oct1740635564440
9421846872743
10133252442400
115156a591260
12219a9b81b40
13c74797536c
146641425a00
1536ed670250
hex1f0676e920

133252442400 has 864 divisors, whose sum is σ = 554004541440. Its totient is φ = 27508992000.

The previous prime is 133252442381. The next prime is 133252442429. The reversal of 133252442400 is 4244252331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 309170185 + ... + 309170615.

It is an arithmetic number, because the mean of its divisors is an integer number (641208960).

Almost surely, 2133252442400 is an apocalyptic number.

133252442400 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 133252442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277002270720).

133252442400 is an abundant number, since it is smaller than the sum of its proper divisors (420752099040).

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

133252442400 is a wasteful number, since it uses less digits than its factorization.

133252442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 133252442400 its reverse (4244252331), we get a palindrome (137496694731).

The spelling of 133252442400 in words is "one hundred thirty-three billion, two hundred fifty-two million, four hundred forty-two thousand, four hundred".