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11325025884060 = 223257172392212187
BaseRepresentation
bin1010010011001101000000…
…1001010001011110011100
31111002122212112012100010100
42210303100021101132130
52441022123111242220
640030351200141100
72246130461464050
oct244632011213634
944078775170110
1011325025884060
113676a09961319
12132aa48307790
13641c39c4c885
142b21c427bc60
151498cae4ed90
hexa4cd025179c

11325025884060 has 288 divisors, whose sum is σ = 41743456634880. Its totient is φ = 2426113234944.

The previous prime is 11325025884047. The next prime is 11325025884071. The reversal of 11325025884060 is 6048852052311.

11325025884060 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 5 + 0 + 2 + 588 + 4 + 0 + 60 = 666.

It is a super-2 number, since 2×113250258840602 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11325025883997 and 11325025884015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4013287 + ... + 6225473.

It is an arithmetic number, because the mean of its divisors is an integer number (144942557760).

Almost surely, 211325025884060 is an apocalyptic number.

11325025884060 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 11325025884060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871728317440).

11325025884060 is an abundant number, since it is smaller than the sum of its proper divisors (30418430750820).

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

11325025884060 is a wasteful number, since it uses less digits than its factorization.

11325025884060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212465 (or 2212460 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11325025884060 in words is "eleven trillion, three hundred twenty-five billion, twenty-five million, eight hundred eighty-four thousand, sixty".