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11425435845120 = 293451113138237
BaseRepresentation
bin1010011001000011000100…
…0010111000001000000000
31111110021001021020212020000
42212100301002320020000
52444143243034020440
640144434530120000
72256313644202233
oct246206102701000
944407037225200
1011425435845120
113705555746210
1213463ab420000
1364b54c67a80b
142b6dcb93741a
1514c306169730
hexa64310b8200

11425435845120 has 800 divisors, whose sum is σ = 44984469220416. Its totient is φ = 2748587212800.

The previous prime is 11425435845119. The next prime is 11425435845133. The reversal of 11425435845120 is 2154853452411.

11425435845120 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 43 + 584 + 5 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 298786642 + ... + 298824878.

Almost surely, 211425435845120 is an apocalyptic number.

11425435845120 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 11425435845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492234610208).

11425435845120 is an abundant number, since it is smaller than the sum of its proper divisors (33559033375296).

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

11425435845120 is a wasteful number, since it uses less digits than its factorization.

11425435845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38414 (or 38389 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 11425435845120 in words is "eleven trillion, four hundred twenty-five billion, four hundred thirty-five million, eight hundred forty-five thousand, one hundred twenty".