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120452796656640 = 21032573710992593
BaseRepresentation
bin11011011000110100011010…
…001010000010110000000000
3120210111011201111120110020200
4123120310122022002300000
5111241444311421003030
61104103130104405200
734241266406232630
oct3330643212026000
9523434644513220
10120452796656640
113541a820573138
1211614685a76800
13522985b034236
1421a5d371566c0
15ddd3c11bcd60
hex6d8d1a282c00

120452796656640 has 1056 divisors, whose sum is σ = 494380758917760. Its totient is φ = 26541910130688.

The previous prime is 120452796656623. The next prime is 120452796656693. The reversal of 120452796656640 is 46656697254021.

It is a happy number.

120452796656640 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 5 + 2 + 7 + 9 + 66 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1300838184 + ... + 1300930776.

It is an arithmetic number, because the mean of its divisors is an integer number (468163597460).

Almost surely, 2120452796656640 is an apocalyptic number.

120452796656640 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 120452796656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247190379458880).

120452796656640 is an abundant number, since it is smaller than the sum of its proper divisors (373927962261120).

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

120452796656640 is a wasteful number, since it uses less digits than its factorization.

120452796656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92777 (or 92756 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 120452796656640 in words is "one hundred twenty trillion, four hundred fifty-two billion, seven hundred ninety-six million, six hundred fifty-six thousand, six hundred forty".